ESAIM: Control, Optimisation and Calculus of Variations (ESAIM: COCV)

Positive Solutions to the Nonhomogenous p-Laplacian Problem with Nonlinearity Asymptotic to up-1at Infinity in RN

Li Wang
Applied Mathematics 02 (09) 1068 (2011)
DOI: 10.4236/am.2011.29148
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Existence of ground state solutions for a class of quasilinear elliptic systems in Orlicz-Sobolev spaces

Liben Wang, Xingyong Zhang and Hui Fang
Boundary Value Problems 2017 (1) (2017)
DOI: 10.1186/s13661-017-0832-7
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Ground States for a Class of Generalized Quasilinear Schrödinger Equations in $${\mathbb {R}}^N$$ R N

Jianhua Chen, Xianhua Tang and Bitao Cheng
Mediterranean Journal of Mathematics 14 (5) (2017)
DOI: 10.1007/s00009-017-0990-y
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The critical case for a Berestycki-Lions theorem

Jian Zhang and WenMing Zou
Science China Mathematics 57 (3) 541 (2014)
DOI: 10.1007/s11425-013-4687-9
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Nonlinear Fractional Schrödinger Equations in R^N

Vincenzo Ambrosio
Frontiers in Mathematics, Nonlinear Fractional Schrödinger Equations in R^N 51 (2021)
DOI: 10.1007/978-3-030-60220-8_3
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Nonlinear Fractional Schrödinger Equations in R^N

Vincenzo Ambrosio
Frontiers in Mathematics, Nonlinear Fractional Schrödinger Equations in R^N 497 (2021)
DOI: 10.1007/978-3-030-60220-8_15
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A positive bound state for an asymptotically linear or superlinear Schrödinger equation

Mónica Clapp and Liliane A. Maia
Journal of Differential Equations 260 (4) 3173 (2016)
DOI: 10.1016/j.jde.2015.09.059
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Ground state solutions for a class of nonlinear fractional Schrödinger–Poisson systems with super-quadratic nonlinearity

Zu Gao, Xianhua Tang and Sitong Chen
Chaos, Solitons & Fractals 105 189 (2017)
DOI: 10.1016/j.chaos.2017.10.034
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Positive solutions for asymptotically linear Schrödinger-Kirchhoff-type equations

Zhisu Liu and Shangjiang Guo
Mathematical Methods in the Applied Sciences 37 (4) 571 (2014)
DOI: 10.1002/mma.2815
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Solvability of Uniformly Elliptic Fully Nonlinear PDE

Boyan Sirakov
Archive for Rational Mechanics and Analysis 195 (2) 579 (2010)
DOI: 10.1007/s00205-009-0218-9
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The existence and non-existence of solutions for the nonlinear Schrödinger equation in one dimension

Yohei Sato
Nonlinear Analysis: Real World Applications 43 477 (2018)
DOI: 10.1016/j.nonrwa.2018.03.013
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Multiplicity results for a class of asymptotically p-linear equations on ℝN

Rossella Bartolo, Anna Maria Candela and Addolorata Salvatore
Communications in Contemporary Mathematics 18 (01) 1550031 (2016)
DOI: 10.1142/S0219199715500315
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Ground state solutions of asymptotically linear fractional Schrödinger equations

Xiaojun Chang
Journal of Mathematical Physics 54 (6) 061504 (2013)
DOI: 10.1063/1.4809933
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EXISTENCE OF GUIDED CYLINDRICAL TM-MODES IN AN INHOMOGENEOUS SELF-FOCUSING DIELECTRIC

C. A. STUART and HUAN-SONG ZHOU
Mathematical Models and Methods in Applied Sciences 20 (09) 1681 (2010)
DOI: 10.1142/S0218202510004751
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Solitary waves in nonlocal NLS with dispersion averaged saturated nonlinearities

Dirk Hundertmark, Young-Ran Lee, Tobias Ried and Vadim Zharnitsky
Journal of Differential Equations 265 (8) 3311 (2018)
DOI: 10.1016/j.jde.2017.08.028
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On ground states of superlinear p-Laplacian equations in RN

Shibo Liu
Journal of Mathematical Analysis and Applications 361 (1) 48 (2010)
DOI: 10.1016/j.jmaa.2009.09.016
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Compactness results for Schrödinger equations with asymptotically linear terms

Zhaoli Liu, Jiabao Su and Tobias Weth
Journal of Differential Equations 231 (2) 501 (2006)
DOI: 10.1016/j.jde.2006.05.007
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Global bifurcation for asymptotically linear Schrödinger equations

François Genoud
Nonlinear Differential Equations and Applications NoDEA 20 (1) 23 (2013)
DOI: 10.1007/s00030-012-0152-7
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Existence of ground state solutions for a class of nonlinear fractional Schrödinger–Poisson systems with super-quadratic nonlinearity

Zu Gao, Xianhua Tang and Sitong Chen
Complex Variables and Elliptic Equations 63 (6) 802 (2018)
DOI: 10.1080/17476933.2017.1345889
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Bound states of asymptotically linear Schrödinger equations with compactly supported potentials

Mingwen Fei and Huicheng Yin
Pacific Journal of Mathematics 261 (2) 335 (2013)
DOI: 10.2140/pjm.2013.261.335
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Existence and multiplicity of solutions for a non-periodic Schrödinger equation

Fukun Zhao, Leiga Zhao and Yanheng Ding
Nonlinear Analysis: Theory, Methods & Applications 69 (11) 3671 (2008)
DOI: 10.1016/j.na.2007.10.024
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Positive solutions for a nonhomogeneous elliptic equation on RN without (AR) condition

Zhengping Wang and Huan-Song Zhou
Journal of Mathematical Analysis and Applications 353 (1) 470 (2009)
DOI: 10.1016/j.jmaa.2008.11.080
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Asymptotically linear Schrödinger equation with potential vanishing at infinity

Chuangye Liu, Zhengping Wang and Huan-Song Zhou
Journal of Differential Equations 245 (1) 201 (2008)
DOI: 10.1016/j.jde.2008.01.006
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Ground States of Nonlinear Schrödinger Equation with Non-Autonomous Nonlinearity

红波朱
Pure Mathematics 02 (02) 62 (2012)
DOI: 10.12677/pm.2012.22011
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A multiple critical points theorem and applications to quasilinear boundary value problems in

Yuxia Guo and Xiangqing Liu
Nonlinear Analysis: Theory, Methods & Applications 75 (9) 3787 (2012)
DOI: 10.1016/j.na.2012.02.002
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Multiple Solutions to Elliptic Equations onRNwith Combined Nonlinearities

Miaomiao Yang and Anran Li
Abstract and Applied Analysis 2014 1 (2014)
DOI: 10.1155/2014/284953
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Existence of weak solutions for a quasilinear equation in RN

M. Massar, N. Tsouli and A. Hamydy
Journal of Mathematical Analysis and Applications 395 (2) 673 (2012)
DOI: 10.1016/j.jmaa.2012.05.068
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Remarks on a Class of Nonlinear Schrödinger Equations with Potential Vanishing at Infinity

Hongbo Zhu
Discrete Dynamics in Nature and Society 2013 1 (2013)
DOI: 10.1155/2013/786736
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Existence of multiple positive solutions for Schrödinger–Poisson systems with critical growth

Jun Wang, Lixin Tian, Junxiang Xu and Fubao Zhang
Zeitschrift für angewandte Mathematik und Physik 66 (5) 2441 (2015)
DOI: 10.1007/s00033-015-0531-0
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On a class of Schrödinger equations in with indefinite linear part

Yisheng Huang and Feizhi Wang
Nonlinear Analysis: Theory, Methods & Applications 69 (12) 4504 (2008)
DOI: 10.1016/j.na.2007.11.007
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Nodal type bound states of Schrödinger equations via invariant set and minimax methods

Zhaoli Liu, Francois A. van Heerden and Zhi-Qiang Wang
Journal of Differential Equations 214 (2) 358 (2005)
DOI: 10.1016/j.jde.2004.08.023
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Positive solutions for a weakly coupled nonlinear Schrödinger system

L.A. Maia, E. Montefusco and B. Pellacci
Journal of Differential Equations 229 (2) 743 (2006)
DOI: 10.1016/j.jde.2006.07.002
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On a boundary value problem in the half-space

Xiangqing Liu and Jiaquan Liu
Journal of Differential Equations 250 (4) 2099 (2011)
DOI: 10.1016/j.jde.2010.11.001
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Standing waves for a class of quasilinear Schrödinger equations

Yaotian Shen and Youjun Wang
Complex Variables and Elliptic Equations 61 (6) 817 (2016)
DOI: 10.1080/17476933.2015.1119818
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Multiple positive solutions for semilinear Schrödinger equations with critical growth in ℝN

Jun Wang, Dianchen Lu, Junxiang Xu and Fubao Zhang
Journal of Mathematical Physics 56 (4) 041503 (2015)
DOI: 10.1063/1.4918795
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Nonautonomous and non periodic Schrödinger equation with indefinite linear part

L. A. Maia, J. C. Oliveira Junior and R. Ruviaro
Journal of Fixed Point Theory and Applications 19 (1) 17 (2017)
DOI: 10.1007/s11784-016-0346-4
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On superlinear Schrödinger equations with periodic potential

Shibo Liu
Calculus of Variations and Partial Differential Equations 45 (1-2) 1 (2012)
DOI: 10.1007/s00526-011-0447-2
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Positive solutions for nonlinear elliptic problems of p-Laplacian type on RN without (AR) condition

Bin Ge, Qingmei Zhou and Li Zu
Nonlinear Analysis: Real World Applications 21 99 (2015)
DOI: 10.1016/j.nonrwa.2014.07.002
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Axisymmetric TE-Modes in a Self-focusing Dielectric

Charles A. Stuart and Huan-Song Zhou
SIAM Journal on Mathematical Analysis 37 (1) 218 (2005)
DOI: 10.1137/S0036141004441751
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On ground state and nodal solutions of Schrödinger–Poisson equations with critical growth

Jian Zhang
Journal of Mathematical Analysis and Applications 428 (1) 387 (2015)
DOI: 10.1016/j.jmaa.2015.03.032
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Asymptotically linear elliptic systems in RN

Chaoquan Peng
Journal of Mathematical Analysis and Applications 380 (2) 540 (2011)
DOI: 10.1016/j.jmaa.2011.04.005
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Existence of infinitely many solutions for p-Laplacian equations in RN

Xiaoyan Lin and X.H. Tang
Nonlinear Analysis: Theory, Methods & Applications 92 72 (2013)
DOI: 10.1016/j.na.2013.06.011
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Bound state for fractional Schrödinger equation with saturable nonlinearity

Youyan Wan and Zhengping Wang
Applied Mathematics and Computation 273 735 (2016)
DOI: 10.1016/j.amc.2015.10.042
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Homoclinic orbits for a nonperiodic Hamiltonian system

Yanheng Ding and Louis Jeanjean
Journal of Differential Equations 237 (2) 473 (2007)
DOI: 10.1016/j.jde.2007.03.005
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On exterior Neumann problems with an asymptotically linear nonlinearity

Tatsuya Watanabe
Journal of Differential Equations 240 (1) 1 (2007)
DOI: 10.1016/j.jde.2007.05.020
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Ground state solutions for some Schrödinger–Poisson systems with periodic potentials

Jijiang Sun and Shiwang Ma
Journal of Differential Equations 260 (3) 2119 (2016)
DOI: 10.1016/j.jde.2015.09.057
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Standing waves for a relativistic quasilinear asymptotically Schrödinger equation

Yaotian Shen and Youjun Wang
Applicable Analysis 95 (11) 2553 (2016)
DOI: 10.1080/00036811.2015.1100296
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Multiple solutions for a Schrödinger type equation with an asymptotically linear term

Francois A. Van Heerden
Nonlinear Analysis: Theory, Methods & Applications 55 (6) 739 (2003)
DOI: 10.1016/j.na.2003.08.008
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Existence of solutions for non-periodic superlinear Schrödinger equations without (AR) condition

Wan Lili and Tang Chunlei
Acta Mathematica Scientia 32 (4) 1559 (2012)
DOI: 10.1016/S0252-9602(12)60123-4
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Sign-changing solutions for schrödinger equations with vanishing and sign-changing potentials

Yuanze WU, Yisheng HUANG and Zeng LIU
Acta Mathematica Scientia 34 (3) 691 (2014)
DOI: 10.1016/S0252-9602(14)60040-0
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Orbitally stable standing waves for the asymptotically linear one-dimensional NLS

François Genoud
Evolution Equations and Control Theory 2 (1) 81 (2013)
DOI: 10.3934/eect.2013.2.81
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Multiple Solutions for a Class of Nonhomogeneous Fractional Schrödinger Equations in $$\mathbb {R}^{N}$$ R N

Vincenzo Ambrosio and Hichem Hajaiej
Journal of Dynamics and Differential Equations 30 (3) 1119 (2018)
DOI: 10.1007/s10884-017-9590-6
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Some results on standing wave solutions for a class of quasilinear Schrödinger equations

Jianhua Chen, Xianjiu Huang, Bitao Cheng and Chuanxi Zhu
Journal of Mathematical Physics 60 (9) 091506 (2019)
DOI: 10.1063/1.5093720
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A perturbation of nonlinear scalar field equations

Jiu Liu, Tao Liu and Jia-Feng Liao
Nonlinear Analysis: Real World Applications 45 531 (2019)
DOI: 10.1016/j.nonrwa.2018.07.022
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Bound states of a nonhomogeneous nonlinear Schrödinger equation with non symmetric potential

Raquel Lehrer, Liliane A. Maia and Ricardo Ruviaro
Nonlinear Differential Equations and Applications NoDEA 22 (4) 651 (2015)
DOI: 10.1007/s00030-014-0299-5
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A Sign-Changing Solution for an Asymptotically Linear Schrödinger Equation

Liliane A. Maia, Olimpio H. Miyagaki and Sergio H. M. Soares
Proceedings of the Edinburgh Mathematical Society 58 (3) 697 (2015)
DOI: 10.1017/S0013091514000339
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GROUND STATE SOLUTIONS FOR -SUPERLINEAR -LAPLACIAN EQUATIONS

YI CHEN and X. H. TANG
Journal of the Australian Mathematical Society 97 (1) 48 (2014)
DOI: 10.1017/S1446788714000135
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Existence of solutions for a class of singular quasilinear elliptic equations

Kuidong Xin, Caisheng Chen and Zonghu Xiu
Complex Variables and Elliptic Equations 66 (8) 1399 (2021)
DOI: 10.1080/17476933.2020.1760254
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Positive solutions for generalized quasilinear Schrödinger equations with asymptotically linear nonlinearities

Guofa Li and Yisheng Huang
Applicable Analysis 100 (5) 1051 (2021)
DOI: 10.1080/00036811.2019.1634256
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Ground state solutions for periodic Discrete nonlinear Schrödinger equations

Xionghui Xu and Jijiang Sun
AIMS Mathematics 6 (12) 13057 (2021)
DOI: 10.3934/math.2021755
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Existence of solution for Schrödinger equation with discontinuous nonlinearity and asymptotically linear

Claudianor O. Alves and Geovany F. Patricio
Journal of Mathematical Analysis and Applications 505 (2) 125640 (2022)
DOI: 10.1016/j.jmaa.2021.125640
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Nonlinear Fractional Schrödinger Equations in R^N

Vincenzo Ambrosio
Frontiers in Mathematics, Nonlinear Fractional Schrödinger Equations in R^N 145 (2021)
DOI: 10.1007/978-3-030-60220-8_5
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On nontrivial solutions of nonlinear Schrödinger equations with sign-changing potential

Wei Chen, Yue Wu and Seongtae Jhang
Advances in Difference Equations 2021 (1) (2021)
DOI: 10.1186/s13662-021-03390-0
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Ground states for fractional linear coupled systems via profile decomposition *

José Carlos de Albuquerque, Diego Ferraz and Edcarlos D Silva
Nonlinearity 34 (7) 4787 (2021)
DOI: 10.1088/1361-6544/abf84c
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On superlinear p(x)-Laplacian equations in RN

Claudianor O. Alves and Shibo Liu
Nonlinear Analysis: Theory, Methods & Applications 73 (8) 2566 (2010)
DOI: 10.1016/j.na.2010.06.033
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Nonhomogeneous quasilinear elliptic problems: linear and sublinear cases

Louis Jeanjean and Vicenţiu D. Rădulescu
Journal d'Analyse Mathématique (2021)
DOI: 10.1007/s11854-021-0170-7
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An Abstract Linking Theorem Applied to Indefinite Problems Via Spectral Properties

Liliane A. Maia and Mayra Soares
Advanced Nonlinear Studies 19 (3) 545 (2019)
DOI: 10.1515/ans-2019-2041
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Existence and multiplicity of solutions for Schrödinger equations with asymptotically linear nonlinearities allowing interaction with essential spectrum

Linjie Song
Partial Differential Equations and Applications 3 (2) (2022)
DOI: 10.1007/s42985-022-00162-7
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Existence of ground state solutions for quasilinear Schrödinger equations with super-quadratic condition

Jianhua Chen, Xianhua Tang and Bitao Cheng
Applied Mathematics Letters 79 27 (2018)
DOI: 10.1016/j.aml.2017.11.007
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Cited article:

A positive solution for an asymptotically linear elliptic problem on autonomous at infinity

This article has been cited by the following article(s):

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Solvability of Uniformly Elliptic Fully Nonlinear PDE

The existence and non-existence of solutions for the nonlinear Schrödinger equation in one dimension

Multiplicity results for a class of asymptotically p-linear equations on ℝN

Ground state solutions of asymptotically linear fractional Schrödinger equations

EXISTENCE OF GUIDED CYLINDRICAL TM-MODES IN AN INHOMOGENEOUS SELF-FOCUSING DIELECTRIC

Solitary waves in nonlocal NLS with dispersion averaged saturated nonlinearities

On ground states of superlinear p-Laplacian equations in RN

Compactness results for Schrödinger equations with asymptotically linear terms

Global bifurcation for asymptotically linear Schrödinger equations

Existence of ground state solutions for a class of nonlinear fractional Schrödinger–Poisson systems with super-quadratic nonlinearity

Bound states of asymptotically linear Schrödinger equations with compactly supported potentials

Existence and multiplicity of solutions for a non-periodic Schrödinger equation

Positive solutions for a nonhomogeneous elliptic equation on RN without (AR) condition

Asymptotically linear Schrödinger equation with potential vanishing at infinity

Ground States of Nonlinear Schrödinger Equation with Non-Autonomous Nonlinearity

A multiple critical points theorem and applications to quasilinear boundary value problems in

Multiple Solutions to Elliptic Equations onRNwith Combined Nonlinearities

Existence of weak solutions for a quasilinear equation in RN

Remarks on a Class of Nonlinear Schrödinger Equations with Potential Vanishing at Infinity

Existence of multiple positive solutions for Schrödinger–Poisson systems with critical growth

On a class of Schrödinger equations in with indefinite linear part

Nodal type bound states of Schrödinger equations via invariant set and minimax methods

Positive solutions for a weakly coupled nonlinear Schrödinger system

On a boundary value problem in the half-space

Standing waves for a class of quasilinear Schrödinger equations

Multiple positive solutions for semilinear Schrödinger equations with critical growth in ℝN

Nonautonomous and non periodic Schrödinger equation with indefinite linear part

On superlinear Schrödinger equations with periodic potential

Positive solutions for nonlinear elliptic problems of p-Laplacian type on RN without (AR) condition

Axisymmetric TE-Modes in a Self-focusing Dielectric

On ground state and nodal solutions of Schrödinger–Poisson equations with critical growth

Asymptotically linear elliptic systems in RN

Existence of infinitely many solutions for p-Laplacian equations in RN

Bound state for fractional Schrödinger equation with saturable nonlinearity

Homoclinic orbits for a nonperiodic Hamiltonian system

On exterior Neumann problems with an asymptotically linear nonlinearity

Ground state solutions for some Schrödinger–Poisson systems with periodic potentials

Standing waves for a relativistic quasilinear asymptotically Schrödinger equation

Multiple solutions for a Schrödinger type equation with an asymptotically linear term

Existence of solutions for non-periodic superlinear Schrödinger equations without (AR) condition

Sign-changing solutions for schrödinger equations with vanishing and sign-changing potentials

Orbitally stable standing waves for the asymptotically linear one-dimensional NLS

Multiple Solutions for a Class of Nonhomogeneous Fractional Schrödinger Equations in $$\mathbb {R}^{N}$$ R N

Some results on standing wave solutions for a class of quasilinear Schrödinger equations

A perturbation of nonlinear scalar field equations

Bound states of a nonhomogeneous nonlinear Schrödinger equation with non symmetric potential

A Sign-Changing Solution for an Asymptotically Linear Schrödinger Equation

GROUND STATE SOLUTIONS FOR -SUPERLINEAR -LAPLACIAN EQUATIONS

Existence of solutions for a class of singular quasilinear elliptic equations

Positive solutions for generalized quasilinear Schrödinger equations with asymptotically linear nonlinearities

Ground state solutions for periodic Discrete nonlinear Schrödinger equations

Existence of solution for Schrödinger equation with discontinuous nonlinearity and asymptotically linear

Nonlinear Fractional Schrödinger Equations in R^N

On nontrivial solutions of nonlinear Schrödinger equations with sign-changing potential

Ground states for fractional linear coupled systems via profile decomposition *

On superlinear p(x)-Laplacian equations in RN

Nonhomogeneous quasilinear elliptic problems: linear and sublinear cases

An Abstract Linking Theorem Applied to Indefinite Problems Via Spectral Properties

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Existence of ground state solutions for quasilinear Schrödinger equations with super-quadratic condition