The concentration-compactness principle for variable exponent spaces and applications
Analysis of PDEs
2009-06-12 v2
Abstract
In this paper we extend the well-known concentration -- compactness principle of P.L. Lions to the variable exponent case. We also give some applications to the existence problem for the p(x)−Laplacian with critical growth.
Cite
@article{arxiv.0906.1922,
title = {The concentration-compactness principle for variable exponent spaces and applications},
author = {J. Fernandez Bonder and A. Silva},
journal= {arXiv preprint arXiv:0906.1922},
year = {2009}
}
Related papers
View all related →
Analysis of PDEs · Mathematics
The concentration-compactness principle for Orlicz spaces and applications
Julián Fernández Bonder, Analía Silva
2023-10-20
Analysis of PDEs · Mathematics
A study and an application of the concentration compactness type principle
Akasmika Panda, Debajyoti Choudhuri
2021-03-24
Analysis of PDEs · Mathematics
The concentration-compactness principle for fractional order Sobolev spaces in unbounded domains and applications to the generalized fractional Brezis-Nirenberg problem
Julián Fernández Bonder, Nicolas Saintier, Analía Silva
2018-02-27
Analysis of PDEs · Mathematics
On existence and concentration of solutions to a class of quasilinear problems involving the $1-$Laplace operator
C. O. Alves, M. T. O. Pimenta
2017-02-23
Analysis of PDEs · Mathematics
The concentration-compactness principles for $W^{s,p(\cdot,\cdot)}(\mathbb{R}^N)$ and application
Ky Ho, Yun-Ho Kim
2019-09-23
Analysis of PDEs · Mathematics
Multiplicity results for double phase problems involving a new type of critical growth
Hoang Hai Ha, Ky Ho
2023-08-15
Analysis of PDEs · Mathematics
On a study and applications of the Concentration-compactness type principle for Systems with critical terms in $\mathbb{R}^{N}$
L. M. M. Bonaldo, E. J. Hurtado, W. Neves
2022-09-08
Analysis of PDEs · Mathematics
Existence of solution to a critical trace equation with variable exponent
Julian Fernandez Bonder, Nicolas Saintier, Analia Silva
2013-01-15
Analysis of PDEs · Mathematics
Existence of solution to a critical equation with variable exponent
Julián Fernández Bonder, Nicolas Saintier, Analía Silva
2013-11-28
Analysis of PDEs · Mathematics
The concentration-compactness principle for fractional Orlicz-Sobolev spaces
Sabri Bahrouni, Olimpio Miyagaki
2023-12-08
Analysis of PDEs · Mathematics
On critical double phase problems in $\mathbb{R}^N$ involving variable exponents
Hoang Hai Ha, Ky Ho
2024-08-15
Analysis of PDEs · Mathematics
Double phase anisotropic variational problems involving critical growth
Ky Ho, Yun-Ho Kim, Chao Zhang
2024-05-21
Analysis of PDEs · Mathematics
Maximum principles and moving planes method for the fractional $p(x,\cdot)$-Laplacian
Anouar Bahrouni, Abdelhakim Sahbani, Ariel Salort
2024-04-03
Functional Analysis · Mathematics
Kolmogorov compactness criterion in variable exponent Lebesgue spaces
Humberto Rafeiro
2009-08-07
Analysis of PDEs · Mathematics
Local existence conditions for an equations involving the $p(x)$-Laplacian with critical exponent in $\mathbb{R}^N$
Nicolas Saintier, Analia Silva
2015-11-17
Analysis of PDEs · Mathematics
Existence results for Schr\"odinger $p(x)$-Laplace equations involving critical growth in $\mathbb{R}^N$
Ky Ho, Yun-Ho Kim, Inbo Sim
2018-07-12
Analysis of PDEs · Mathematics
On the Sobolev embedding theorem for variable exponent spaces in the critical range
Julian Fernandez Bonder, Nicolas Saintier, Analia Silva
2012-11-06
Analysis of PDEs · Mathematics
On the concentration-compactness principle for anisotropic variable exponent Sobolev spaces and its applications
N. Chems Eddine, M. A. Ragusa, D. D. Repovš
2024-03-27
Analysis of PDEs · Mathematics
Concentration-compactness principle for nonlocal scalar field equations with critical growth
João Marcos do Ó, Diego Ferraz
2016-12-30
Analysis of PDEs · Mathematics
On the pure critical exponent problem for the $p$-Laplacian
Carlo Mercuri, Filomena Pacella
2013-01-23
Analysis of PDEs · Mathematics
The concentration-compactness principle for Musielak-Orlicz spaces and applications
Ala Eddine Bahrouni, Anouar Bahrouni
2025-09-16
Analysis of PDEs · Mathematics
The concentration-compactness principle for the nonlocal anisotropic $p$-Laplacian of mixed order
Jamil Chaker, Minhyun Kim, Marvin Weidner
2021-07-15
Numerical Analysis · Mathematics
Infinity-Laplacians on Scalar- and Vector-Valued Functions and Optimal Lipschitz Extensions on Graphs
Johannes Hertrich
2019-10-31
Analysis of PDEs · Mathematics
Existence and regularity for a $p$-Laplacian problem in $\mathbb{R}^N$ with singular, convective, critical reaction
Laura Baldelli, Umberto Guarnotta
2024-05-08
Analysis of PDEs · Mathematics
Compactness and dichotomy in nonlocal shape optimization
Enea Parini, Ariel Salort
2018-06-05