Γ-convergence and absolute minimizers for supremal functionals
ESAIM: COCV, 10 1 (2004) 14-27
Published online: 2004-02-15
Articles citing this article
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:
This article has been cited by the following article(s):
Approximation of $$L^\infty $$ functionals with generalized Orlicz norms
Giacomo Bertazzoni, Michela Eleuteri and Elvira ZappaleAnnali di Matematica Pura ed Applicata (1923 -) 204 (3) 903 (2025)
https://doi.org/10.1007/s10231-024-01511-6
Revisited convexity notions for $$L^\infty $$ variational problems
Ana Margarida Ribeiro and Elvira ZappaleRevista Matemática Complutense 38 (2) 573 (2025)
https://doi.org/10.1007/s13163-024-00499-0
Lower semicontinuity of nonlocal L ∞ energies on SBV 0 (I)
José Matias, Pedro Miguel Santos and Elvira ZappaleComptes Rendus. Mathématique 363 (G4) 407 (2025)
https://doi.org/10.5802/crmath.726
Convergence of generalized Orlicz norms with lower growth rate tending to infinity
Giacomo Bertazzoni, Petteri Harjulehto and Peter HästöJournal of Mathematical Analysis and Applications 539 (2) 128666 (2024)
https://doi.org/10.1016/j.jmaa.2024.128666
Generalized second order vectorial ∞-eigenvalue problems
Ed Clark and Nikos KatzourakisProceedings of the Royal Society of Edinburgh: Section A Mathematics 1 (2024)
https://doi.org/10.1017/prm.2024.27
On isosupremic vectorial minimisation problems in L ∞ with general nonlinear constraints
Ed Clark and Nikos KatzourakisAdvances in Calculus of Variations 17 (3) 831 (2024)
https://doi.org/10.1515/acv-2022-0068
A Rademacher type theorem for Hamiltonians H(x, p) and an application to absolute minimizers
Jiayin Liu and Yuan ZhouCalculus of Variations and Partial Differential Equations 62 (5) (2023)
https://doi.org/10.1007/s00526-023-02484-9
A sufficient condition for the lower semicontinuity of nonlocal supremal functionals in the vectorial case
Giuliano Gargiulo and Elvira ZappaleEuropean Journal of Mathematics 9 (3) (2023)
https://doi.org/10.1007/s40879-023-00668-3
Structural Changes in Nonlocal Denoising Models Arising Through Bi-Level Parameter Learning
Elisa Davoli, Rita Ferreira, Carolin Kreisbeck and Hidde SchönbergerApplied Mathematics & Optimization 88 (1) (2023)
https://doi.org/10.1007/s00245-023-09982-4
Generalised vectorial∞-eigenvalue nonlinear problems forL∞functionals
Nikos KatzourakisNonlinear Analysis 219 112806 (2022)
https://doi.org/10.1016/j.na.2022.112806
Vectorial variational problems in L ∞ constrained by the Navier–Stokes equations*
Ed Clark, Nikos Katzourakis and Boris MuhaNonlinearity 35 (1) 470 (2022)
https://doi.org/10.1088/1361-6544/ac372a
Cartesian convexity as the key notion in the variational existence theory for nonlocal supremal functionals
Carolin Kreisbeck, Antonella Ritorto and Elvira ZappaleNonlinear Analysis 225 113111 (2022)
https://doi.org/10.1016/j.na.2022.113111
The role of intrinsic distances in the relaxation of L∞-functionals
Maria Stella Gelli and Francesca PrinariNonlinear Analysis 204 112202 (2021)
https://doi.org/10.1016/j.na.2020.112202
Vectorial Variational Principles in $$L^\infty $$ and Their Characterisation Through PDE Systems
Birzhan Ayanbayev and Nikos KatzourakisApplied Mathematics & Optimization 83 (2) 833 (2021)
https://doi.org/10.1007/s00245-019-09569-y
Γ-convergence for power-law functionals with variable exponents
Michela Eleuteri and Francesca PrinariNonlinear Analysis: Real World Applications 58 103221 (2021)
https://doi.org/10.1016/j.nonrwa.2020.103221
A Relaxation Result in the Vectorial Setting and Power Law Approximation for Supremal Functionals
Francesca Prinari and Elvira ZappaleJournal of Optimization Theory and Applications 186 (2) 412 (2020)
https://doi.org/10.1007/s10957-020-01712-y
Lower semicontinuity and relaxation of nonlocal $$L^\infty $$-functionals
Carolin Kreisbeck and Elvira ZappaleCalculus of Variations and Partial Differential Equations 59 (4) (2020)
https://doi.org/10.1007/s00526-020-01782-w
Inverse Optical Tomography through PDE Constrained Optimization $L^\infty$
Nikos KatzourakisSIAM Journal on Control and Optimization 57 (6) 4205 (2019)
https://doi.org/10.1137/19M1239908
An $L^\infty$ Regularization Strategy to the Inverse Source Identification Problem for Elliptic Equations
Nikos KatzourakisSIAM Journal on Mathematical Analysis 51 (2) 1349 (2019)
https://doi.org/10.1137/18M1226373
Uniqueness of Absolute Minimizers for $${L^\infty}$$-Functionals Involving Hamiltonians $${H(x,p)}$$
Qianyun Miao, Changyou Wang and Yuan ZhouArchive for Rational Mechanics and Analysis 223 (1) 141 (2017)
https://doi.org/10.1007/s00205-016-1033-8
L∞-variational problems associated to measurable Finsler structures
Chang-Yu Guo, Chang-lin Xiang and Dachun YangNonlinear Analysis 132 126 (2016)
https://doi.org/10.1016/j.na.2015.10.025
On the lower semicontinuity and approximation of $${L^{\infty}}$$ L ∞ -functionals
Francesca PrinariNonlinear Differential Equations and Applications NoDEA 22 (6) 1591 (2015)
https://doi.org/10.1007/s00030-015-0337-y
On the lower semicontinuity of supremal functional under differential constraints
Nadia Ansini and Francesca PrinariESAIM: Control, Optimisation and Calculus of Variations 21 (4) 1053 (2015)
https://doi.org/10.1051/cocv/2014058
Nonuniqueness in vector-valued calculus of variations in $L^\infty$ and some Linear elliptic systems
Nikos KatzourakisCommunications on Pure and Applied Analysis 14 (1) 313 (2014)
https://doi.org/10.3934/cpaa.2015.14.313
Power-Law Approximation under Differential Constraints
Nadia Ansini and Francesca PrinariSIAM Journal on Mathematical Analysis 46 (2) 1085 (2014)
https://doi.org/10.1137/130911391
Intrinsic Geometry and Analysis of Diffusion Processes and L ∞-Variational Problems
Pekka Koskela, Nageswari Shanmugalingam and Yuan ZhouArchive for Rational Mechanics and Analysis 214 (1) 99 (2014)
https://doi.org/10.1007/s00205-014-0755-8
Stochastic homogenization of L∞ variational problems
Scott N. Armstrong and Panagiotis E. SouganidisAdvances in Mathematics 229 (6) 3508 (2012)
https://doi.org/10.1016/j.aim.2012.02.018
Existence of absolute minimizers for noncoercive Hamiltonians and viscosity solutions of the Aronsson equation
Pierpaolo SoraviaMathematical Control & Related Fields 2 (4) 399 (2012)
https://doi.org/10.3934/mcrf.2012.2.399
Convexity Criteria and Uniqueness of Absolutely Minimizing Functions
Scott N. Armstrong, Michael G. Crandall, Vesa Julin and Charles K. SmartArchive for Rational Mechanics and Analysis 200 (2) 405 (2011)
https://doi.org/10.1007/s00205-010-0348-0
Semicontinuity and relaxation of L ∞-functionals
Francesca PrinariAdvances in Calculus of Variations 2 (1) (2009)
https://doi.org/10.1515/ACV.2009.003
Semicontinuity and Supremal Representation in the Calculus of Variations
Francesca PrinariApplied Mathematics and Optimization 58 (1) 111 (2008)
https://doi.org/10.1007/s00245-007-9033-6
Calculus of Variations and Nonlinear Partial Differential Equations
Michael G. CrandallLecture Notes in Mathematics, Calculus of Variations and Nonlinear Partial Differential Equations 1927 75 (2008)
https://doi.org/10.1007/978-3-540-75914-0_3
Handbook of Differential Equations: Stationary Partial Differential Equations
Andrea BraidesHandbook of Differential Equations: Stationary Partial Differential Equations 3 101 (2006)
https://doi.org/10.1016/S1874-5733(06)80006-9