The Citing articles tool gives a list of articles citing the current article. The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program . You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).
Cited article:
P. Gérard
ESAIM: COCV, 3 (1998) 213-233
Published online: 2002-08-15
This article has been cited by the following article(s):
154 articles | Pages:
Existence of stable standing waves for the critical fractional Schrödinger equation with an inhomogeneous combined nonlinearity
Congming Peng, Kai Wang and Caochuan Ma Mathematical Methods in the Applied Sciences 48 (1) 417 (2025) https://doi.org/10.1002/mma.10335
On profile decomposition for Airy type equation
Boning Di, Chenjie Fan and Dunyan Yan Journal of Differential Equations 422 562 (2025) https://doi.org/10.1016/j.jde.2025.01.016
Sharp Quantitative Stability Estimates for Critical Points of Fractional Sobolev Inequalities
Haixia Chen, Seunghyeok Kim and Juncheng Wei International Mathematics Research Notices 2025 (12) (2025) https://doi.org/10.1093/imrn/rnaf156
Global solution and blow-up of critical heat equation with nonlocal interaction
Minbo Yang and Jian Zhang Forum Mathematicum (2025) https://doi.org/10.1515/forum-2024-0537
Stability in Gagliardo–Nirenberg–Sobolev Inequalities Flows, Regularity, and the Entropy Method
Matteo Bonforte, Jean Dolbeault, Bruno Nazaret and Nikita Simonov Memoirs of the American Mathematical Society 308 (1554) (2025) https://doi.org/10.1090/memo/1554
Global Well-Posedness for the Derivative Nonlinear Schrödinger Equation with Periodic Boundary Condition
Hajer Bahouri and Galina Perelman International Mathematics Research Notices 2024 (24) 14479 (2024) https://doi.org/10.1093/imrn/rnae243
L2 Concentration of Blow-Up Solutions for the Nonlinear Schrödinger Equation with an Inhomogeneous Combined Non-Linearity
Baoli Xie, Congming Peng and Caochuan Ma Mathematics 12 (7) 1060 (2024) https://doi.org/10.3390/math12071060
Localized Sequential Bubbling for the Radial Energy Critical Semilinear Heat Equation
Andrew Lawrie Vietnam Journal of Mathematics 52 (3) 699 (2024) https://doi.org/10.1007/s10013-023-00648-w
Soliton resolution for energy-critical wave maps in the equivariant case
Jacek Jendrej and Andrew Lawrie Journal of the American Mathematical Society 38 (3) 783 (2024) https://doi.org/10.1090/jams/1012
Giampiero Palatucci, Mirco Piccinini and Letizia Temperini 3 145 (2024) https://doi.org/10.1007/978-3-031-48579-4_15
Rupert L. Frank 2348 1 (2024) https://doi.org/10.1007/978-3-031-67601-7_1
Struwe’s global compactness and energy approximation of the critical Sobolev embedding in the Heisenberg group
Giampiero Palatucci, Mirco Piccinini and Letizia Temperini Advances in Calculus of Variations (2024) https://doi.org/10.1515/acv-2024-0044
Normalized Solutions to at Least Mass Critical Problems: Singular Polyharmonic Equations and Related Curl–Curl Problems
Bartosz Bieganowski, Jarosław Mederski and Jacopo Schino The Journal of Geometric Analysis 34 (10) (2024) https://doi.org/10.1007/s12220-024-01770-y
Existence and Stability of Standing Wavesfor the Fourth-Order Hartree Equation withMixed Dispersion Terms
春阳 颜 Pure Mathematics 14 (08) 80 (2024) https://doi.org/10.12677/PM.2024.148307
Profile decomposition and scattering for general nonlinear Schrödinger equations
Thomas Duyckaerts and Phan Van Tin Journal of Differential Equations 410 113 (2024) https://doi.org/10.1016/j.jde.2024.07.003
The Calogero–Moser derivative nonlinear Schrödinger equation
Patrick Gérard and Enno Lenzmann Communications on Pure and Applied Mathematics 77 (10) 4008 (2024) https://doi.org/10.1002/cpa.22203
On the Global Well-Posedness for the Periodic Quintic Nonlinear Schrödinger Equation
Xueying Yu and Haitian Yue SIAM Journal on Mathematical Analysis 56 (2) 1851 (2024) https://doi.org/10.1137/22M1531063
Finite time blow up and concentration phenomena for a solution to drift-diffusion equations in higher dimensions
Takayoshi Ogawa, Takeshi Suguro and Hiroshi Wakui Calculus of Variations and Partial Differential Equations 62 (2) (2023) https://doi.org/10.1007/s00526-022-02345-x
Soliton Resolution for the Energy-Critical Nonlinear Wave Equation in the Radial Case
Jacek Jendrej and Andrew Lawrie Annals of PDE 9 (2) (2023) https://doi.org/10.1007/s40818-023-00159-4
The Existence and Stability of Normalized Solutions for a Bi-Harmonic Nonlinear Schrödinger Equation with Mixed Dispersion
Tingjian Luo, Shijun Zheng and Shihui Zhu Acta Mathematica Scientia 43 (2) 539 (2023) https://doi.org/10.1007/s10473-023-0205-5
Stability with explicit constants of the critical points of the fractional Sobolev inequality and applications to fast diffusion
Nicola De Nitti and Tobias König Journal of Functional Analysis 285 (9) 110093 (2023) https://doi.org/10.1016/j.jfa.2023.110093
Scattering solutions to nonlinear Schrödinger equation with a long range potential
Masaru Hamano and Masahiro Ikeda Journal of Mathematical Analysis and Applications 528 (1) 127468 (2023) https://doi.org/10.1016/j.jmaa.2023.127468
Bubble decomposition for the harmonic map heat flow in the equivariant case
Jacek Jendrej and Andrew Lawrie Calculus of Variations and Partial Differential Equations 62 (9) (2023) https://doi.org/10.1007/s00526-023-02597-1
Travelling waves for Maxwell’s equations in nonlinear and nonsymmetric media
Jarosław Mederski and Wolfgang Reichel Nonlinear Differential Equations and Applications NoDEA 30 (2) (2023) https://doi.org/10.1007/s00030-022-00824-w
On the Critical Norm Concentration for the Inhomogeneous Nonlinear Schrödinger Equation
Luccas Campos and Mykael Cardoso Journal of Dynamics and Differential Equations 34 (3) 2347 (2022) https://doi.org/10.1007/s10884-022-10151-4
Profile decomposition in Sobolev spaces and decomposition of integral functionals I: Inhomogeneous case
Mizuho Okumura Journal of Functional Analysis 283 (9) 109647 (2022) https://doi.org/10.1016/j.jfa.2022.109647
Dynamics of Threshold Solutions for Energy Critical NLS with Inverse Square Potential
Kai Yang, Chongchun Zeng and Xiaoyi Zhang SIAM Journal on Mathematical Analysis 54 (1) 173 (2022) https://doi.org/10.1137/21M1406003
On the Cauchy problem for a nonlocal nonlinear Schrödinger equation
Hongwei Wang and Amin Esfahani Discrete and Continuous Dynamical Systems - B 27 (12) 7185 (2022) https://doi.org/10.3934/dcdsb.2022039
Global well-posedness for the derivative nonlinear Schrödinger equation
Hajer Bahouri and Galina Perelman Inventiones mathematicae 229 (2) 639 (2022) https://doi.org/10.1007/s00222-022-01113-0
Threshold solutions in the focusing 3D cubic NLS equation outside a strictly convex obstacle
Thomas Duyckaerts, Oussama Landoulsi and Svetlana Roudenko Journal of Functional Analysis 282 (5) 109326 (2022) https://doi.org/10.1016/j.jfa.2021.109326
On the existence of multiple solutions for fractional Brezis–Nirenberg‐type equations
Debangana Mukherjee Mathematische Nachrichten 295 (12) 2405 (2022) https://doi.org/10.1002/mana.202000098
Global well-posedness for the energy-critical focusing nonlinear Schrödinger equation on T4
Haitian Yue Journal of Differential Equations 280 754 (2021) https://doi.org/10.1016/j.jde.2021.01.031
General class of optimal Sobolev inequalities and nonlinear scalar field equations
Jarosław Mederski Journal of Differential Equations 281 411 (2021) https://doi.org/10.1016/j.jde.2021.02.015
Global well-posedness and scattering for the
defocusing Ḣ1∕2-critical nonlinear Schrödinger equation in ℝ2
Xueying Yu Analysis & PDE 14 (7) 2225 (2021) https://doi.org/10.2140/apde.2021.14.2225
Stability and Instability of Self-Gravitating Relativistic Matter Distributions
Mahir Hadžić, Zhiwu Lin and Gerhard Rein Archive for Rational Mechanics and Analysis 241 (1) 1 (2021) https://doi.org/10.1007/s00205-021-01647-2
Remarks on blow-up criteria for the derivative nonlinear Schrödinger equation under the optimal threshold setting
Hideo Takaoka Journal of Differential Equations 291 90 (2021) https://doi.org/10.1016/j.jde.2021.05.003
Mass-concentration of low-regularity blow-up solutions to the focusing 2D modified Zakharov–Kuznetsov equation
Debdeep Bhattacharya Partial Differential Equations and Applications 2 (6) (2021) https://doi.org/10.1007/s42985-021-00139-y
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) https://doi.org/10.1088/1361-6544/abf84c
Existence and stability of infinite time bubble towers in the energy critical heat equation
Manuel del Pino, Monica Musso and Juncheng Wei Analysis & PDE 14 (5) 1557 (2021) https://doi.org/10.2140/apde.2021.14.1557
Nonradial solutions of nonlinear scalar field equations
Jarosław Mederski Nonlinearity 33 (12) 6349 (2020) https://doi.org/10.1088/1361-6544/aba889
Radially symmetric traveling waves for the
Schrödinger equation on the Heisenberg group
Louise Gassot Pure and Applied Analysis 2 (4) 739 (2020) https://doi.org/10.2140/paa.2020.2.739
A nonlinear Plancherel theorem with applications to global well-posedness for the defocusing Davey–Stewartson equation and to the inverse boundary value problem of Calderón
Adrian Nachman, Idan Regev and Daniel Tataru Inventiones mathematicae 220 (2) 395 (2020) https://doi.org/10.1007/s00222-019-00930-0
Construction of multi-bubble solutions for the energy-critical wave equation in dimension 5
Jacek Jendrej and Yvan Martel Journal de Mathématiques Pures et Appliquées 139 317 (2020) https://doi.org/10.1016/j.matpur.2020.02.007
Scattering for the Radial Focusing Inhomogeneous NLS Equation in Higher Dimensions
Luiz Gustavo Farah and Carlos M. Guzmán Bulletin of the Brazilian Mathematical Society, New Series 51 (2) 449 (2020) https://doi.org/10.1007/s00574-019-00160-1
Blow-Up Criterion and Examples of Global Solutions of Forced Navier-Stokes Equations
Di Wu Acta Applicandae Mathematicae 170 (1) 99 (2020) https://doi.org/10.1007/s10440-020-00326-w
On the Cubic Lowest Landau Level Equation
Patrick Gérard, Pierre Germain and Laurent Thomann Archive for Rational Mechanics and Analysis 231 (2) 1073 (2019) https://doi.org/10.1007/s00205-018-1295-4
Nonlinear Dispersive Partial Differential Equations and Inverse Scattering
Peter A. Perry Fields Institute Communications, Nonlinear Dispersive Partial Differential Equations and Inverse Scattering 83 161 (2019) https://doi.org/10.1007/978-1-4939-9806-7_4
Asymptotic dynamic for Dipolar Quantum Gases below the ground state energy threshold
Jacopo Bellazzini and Luigi Forcella Journal of Functional Analysis 277 (6) 1958 (2019) https://doi.org/10.1016/j.jfa.2019.04.005
Existence of solutions of a non-linear eigenvalue problem with a variable weight
Rejeb Hadiji and François Vigneron Journal of Differential Equations 266 (2-3) 1488 (2019) https://doi.org/10.1016/j.jde.2018.08.001
The Abel Prize 2013-2017
Albert Cohen The Abel Prize, The Abel Prize 2013-2017 645 (2019) https://doi.org/10.1007/978-3-319-99028-6_30
Profile decomposition in Sobolev spaces of non-compact manifolds
Kunnath Sandeep and Cyril Tintarev Nonlinear Differential Equations and Applications NoDEA 26 (6) (2019) https://doi.org/10.1007/s00030-019-0599-x
Global well-posedness and scattering for the radial, defocusing, cubic wave equation with initial data in a critical Besov space
Benjamin Dodson Analysis & PDE 12 (4) 1023 (2019) https://doi.org/10.2140/apde.2019.12.1023
Global compactness results for nonlocal problems
Lorenzo Brasco, Marco Squassina and Yang Yang Discrete & Continuous Dynamical Systems - S 11 (3) 391 (2018) https://doi.org/10.3934/dcdss.2018022
Nonlinear profile decomposition for the H˙12×H˙−12(Rd) energy subcritical wave equation
Javier Ramos Journal of Functional Analysis 275 (10) 2614 (2018) https://doi.org/10.1016/j.jfa.2018.08.023
The profile decomposition for the hyperbolic Schrödinger equation
Benjamin Dodson, Jeremy L. Marzuola, Benoit Pausader and Daniel P. Spirn Illinois Journal of Mathematics 62 (1-4) (2018) https://doi.org/10.1215/ijm/1552442664
Handbook of Mathematical Analysis in Mechanics of Viscous Fluids
Isabelle Gallagher Handbook of Mathematical Analysis in Mechanics of Viscous Fluids 647 (2018) https://doi.org/10.1007/978-3-319-13344-7_12
Blow‐up dynamics of L2−critical inhomogeneous nonlinear Schrödinger equation
Congming Peng and Dun Zhao Mathematical Methods in the Applied Sciences 41 (18) 9408 (2018) https://doi.org/10.1002/mma.5300
Global, decaying solutions of a focusing energy-critical heat equation in R4
Stephen Gustafson and Dimitrios Roxanas Journal of Differential Equations 264 (9) 5894 (2018) https://doi.org/10.1016/j.jde.2018.01.023
Symmetry Breaking in the Periodic Thomas–Fermi–Dirac–von Weizsäcker Model
Julien Ricaud Annales Henri Poincaré 19 (10) 3129 (2018) https://doi.org/10.1007/s00023-018-0711-5
Orbital stability of solitary waves for derivative nonlinear Schrödinger equation
Soonsik Kwon and Yifei Wu Journal d'Analyse Mathématique 135 (2) 473 (2018) https://doi.org/10.1007/s11854-018-0038-7
Large data scattering for the defocusing supercritical generalized KdV equation
Luiz G. Farah, Felipe Linares, Ademir Pastor and Nicola Visciglia Communications in Partial Differential Equations 43 (1) 118 (2018) https://doi.org/10.1080/03605302.2018.1439063
Stability of standing waves for the fractional Schrödinger–Choquard equation
Binhua Feng and Honghong Zhang Computers & Mathematics with Applications 75 (7) 2499 (2018) https://doi.org/10.1016/j.camwa.2017.12.025
Stability of standing wave for the fractional nonlinear Schrödinger equation
Congming Peng and Qihong Shi Journal of Mathematical Physics 59 (1) (2018) https://doi.org/10.1063/1.5021689
On stability and instability of standing waves for the nonlinear Schrödinger equation with an inverse-square potential
Abdelwahab Bensouilah, Van Duong Dinh and Shihui Zhu Journal of Mathematical Physics 59 (10) (2018) https://doi.org/10.1063/1.5038041
Existence of stable standing waves for the fractional Schrödinger equations with combined nonlinearities
Shihui Zhu Journal of Evolution Equations 17 (3) 1003 (2017) https://doi.org/10.1007/s00028-016-0363-1
A new class of traveling solitons for cubic fractional nonlinear Schrödinger equations
Younghun Hong and Yannick Sire Nonlinearity 30 (4) 1262 (2017) https://doi.org/10.1088/1361-6544/aa5b12
High frequency approximation of solutions to Klein–Gordon equation in Orlicz framework
Ines Ben Ayed Asymptotic Analysis 101 (3) 181 (2017) https://doi.org/10.3233/ASY-161398
Soliton resolution along a sequence of times for the focusing energy critical wave equation
Thomas Duyckaerts, Hao Jia, Carlos Kenig and Frank Merle Geometric and Functional Analysis 27 (4) 798 (2017) https://doi.org/10.1007/s00039-017-0418-7
Concentration-compactness principle for nonlocal scalar field equations with critical growth
João Marcos do Ó and Diego Ferraz Journal of Mathematical Analysis and Applications 449 (2) 1189 (2017) https://doi.org/10.1016/j.jmaa.2016.12.053
On a Brezis–Nirenberg type quasilinear problem
Yuxia Guo, Jiaquan Liu and Zhi-Qiang Wang Journal of Fixed Point Theory and Applications 19 (1) 719 (2017) https://doi.org/10.1007/s11784-016-0371-3
Scattering for the radial 3D cubic focusing inhomogeneous nonlinear Schrödinger equation
Luiz Gustavo Farah and Carlos M. Guzmán Journal of Differential Equations 262 (8) 4175 (2017) https://doi.org/10.1016/j.jde.2017.01.013
Stability of Standing Waves for the Nonlinear Fractional Schrödinger Equation
Jian Zhang and Shihui Zhu Journal of Dynamics and Differential Equations 29 (3) 1017 (2017) https://doi.org/10.1007/s10884-015-9477-3
Harmonic Analysis, Partial Differential Equations and Applications
Carlos Kenig Applied and Numerical Harmonic Analysis, Harmonic Analysis, Partial Differential Equations and Applications 97 (2017) https://doi.org/10.1007/978-3-319-52742-0_7
The energy-critical NLS with inverse-square potential
Jiqiang Zheng, Junyong Zhang, Monica Visan, Changxing Miao and Rowan Killip Discrete and Continuous Dynamical Systems 37 (7) 3831 (2017) https://doi.org/10.3934/dcds.2017162
Flows and functional inequalities for fractional operators
Jean Dolbeault and An Zhang Applicable Analysis 96 (9) 1547 (2017) https://doi.org/10.1080/00036811.2017.1286647
The symplectic non-squeezing properties of mass subcritical Hartree equations
Kai Yang Journal of Mathematical Analysis and Applications 449 (1) 427 (2017) https://doi.org/10.1016/j.jmaa.2016.11.079
Global well-posedness and scattering for the defocusing, L2-critical, nonlinear Schrödinger equation when d=2
Benjamin Dodson Duke Mathematical Journal 165 (18) (2016) https://doi.org/10.1215/00127094-3673888
Scattering for a nonlinear Schrödinger equation with a potential
Younghun Hong Communications on Pure and Applied Analysis 15 (5) 1571 (2016) https://doi.org/10.3934/cpaa.2016003
Sharp Hardy–Littlewood–Sobolev inequalities on quaternionic Heisenberg groups
Michael Christ, Heping Liu and An Zhang Nonlinear Analysis 130 361 (2016) https://doi.org/10.1016/j.na.2015.10.018
Defect of compactness in spaces of bounded variation
Adimurthi and Cyril Tintarev Journal of Functional Analysis 271 (1) 37 (2016) https://doi.org/10.1016/j.jfa.2016.04.002
Concentration and Non-Concentration for the Schrödinger Evolution on Zoll Manifolds
Fabricio Macià and Gabriel Rivière Communications in Mathematical Physics 345 (3) 1019 (2016) https://doi.org/10.1007/s00220-015-2504-8
Concentration analysis in Banach spaces
Sergio Solimini and Cyril Tintarev Communications in Contemporary Mathematics 18 (03) 1550038 (2016) https://doi.org/10.1142/S0219199715500388
Handbook of Mathematical Analysis in Mechanics of Viscous Fluids
Isabelle Gallagher Handbook of Mathematical Analysis in Mechanics of Viscous Fluids 1 (2016) https://doi.org/10.1007/978-3-319-10151-4_12-1
Structure theorems for 2D linear and nonlinear Schrödinger equations
Hajer Bahouri Communications in Contemporary Mathematics 18 (02) 1550034 (2016) https://doi.org/10.1142/S0219199715500340
Blow-up of Critical Besov Norms at a Potential Navier–Stokes Singularity
Isabelle Gallagher, Gabriel S. Koch and Fabrice Planchon Communications in Mathematical Physics 343 (1) 39 (2016) https://doi.org/10.1007/s00220-016-2593-z
Multiscale Weak Compactness in Metric Spaces
Giuseppe Devillanova Journal of Elliptic and Parabolic Equations 2 (1-2) 131 (2016) https://doi.org/10.1007/BF03377397
On the Davey-Stewartson system with competing nonlinearities
Shihui Zhu Journal of Mathematical Physics 57 (3) (2016) https://doi.org/10.1063/1.4942633
Profile decompositions for wave equations on hyperbolic space with applications
Andrew Lawrie, Sung-Jin Oh and Sohrab Shahshahani Mathematische Annalen 365 (1-2) 707 (2016) https://doi.org/10.1007/s00208-015-1305-x
Scattering for NLS with a delta potential
Valeria Banica and Nicola Visciglia Journal of Differential Equations 260 (5) 4410 (2016) https://doi.org/10.1016/j.jde.2015.11.016
Wigner measures and observability for the Schrödinger equation on the disk
Nalini Anantharaman, Matthieu Léautaud and Fabricio Macià Inventiones mathematicae 206 (2) 485 (2016) https://doi.org/10.1007/s00222-016-0658-4
Maximizers for the Stein–Tomas Inequality
Rupert L. Frank, Elliott H. Lieb and Julien Sabin Geometric and Functional Analysis 26 (4) 1095 (2016) https://doi.org/10.1007/s00039-016-0380-9
On the blow-up solutions for the nonlinear fractional Schrödinger equation
Shihui Zhu Journal of Differential Equations 261 (2) 1506 (2016) https://doi.org/10.1016/j.jde.2016.04.007
On mass concentration for the critical generalized Korteweg–de Vries equation
B. Pigott Proceedings of the Edinburgh Mathematical Society 59 (2) 519 (2016) https://doi.org/10.1017/S001309151500019X
Some Remarks on Profile Decomposition Theorems
Giuseppe Devillanova and Sergio Solimini Advanced Nonlinear Studies 16 (4) 795 (2016) https://doi.org/10.1515/ans-2015-5049
Concentration of blow-up solutions for the coupled Schrödinger equations inR2
Yanfang Gao and Zhiyong Wang Journal of Mathematical Analysis and Applications 429 (1) 591 (2015) https://doi.org/10.1016/j.jmaa.2015.04.034
Blow-up dynamics of L 2 solutions for the Davey-Stewartson system
Shi Hui Zhu Acta Mathematica Sinica, English Series 31 (3) 411 (2015) https://doi.org/10.1007/s10114-015-4349-7
Profile decomposition and phase control for circle-valued maps in one dimension
Petru Mironescu Comptes Rendus. Mathématique 353 (12) 1087 (2015) https://doi.org/10.1016/j.crma.2015.09.030
On the defect of compactness in Banach spaces
Sergio Solimini and Cyril Tintarev Comptes Rendus Mathematique 353 (10) 899 (2015) https://doi.org/10.1016/j.crma.2015.07.011
Nonlinear Optical and Atomic Systems
Fabricio Macià Lecture Notes in Mathematics, Nonlinear Optical and Atomic Systems 2146 275 (2015) https://doi.org/10.1007/978-3-319-19015-0_4
A Global Compactness type result for Palais–Smale sequences in fractional Sobolev spaces
Giampiero Palatucci and Adriano Pisante Nonlinear Analysis: Theory, Methods & Applications 117 1 (2015) https://doi.org/10.1016/j.na.2014.12.027
Pages:
1 to 100 of 154 articles