A gamma convergence approach to the critical Sobolev embedding in variable exponent spaces
From MaRDI portal
Publication:281868
DOI10.1016/j.jmaa.2016.04.021zbMath1382.46021arXiv1310.4800OpenAlexW2962931041MaRDI QIDQ281868
Analia Silva, Julián Fernández Bonder, Nicolas Saintier
Publication date: 11 May 2016
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1310.4800
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Critical exponents in context of PDEs (35B33)
Related Items (2)
Local existence conditions for an equations involving the \(p(x)\)-Laplacian with critical exponent in \(\mathbb R^N\) ⋮ Three solutions for a nonlocal problem with critical growth
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the Sobolev embedding theorem for variable exponent spaces in the critical range
- On the Sobolev trace theorem for variable exponent spaces in the critical range
- Lebesgue and Sobolev spaces with variable exponents
- Subcritical approximation of the Sobolev quotient and a related concentration result
- Orlicz spaces and modular spaces
- The concentration-compactness principle in the calculus of variations. The limit case. I
- On generalized Orlicz-Sobolev space
- On Lavrentiev's phenomenon
- Variational problems with concentration
- Electrorheological fluids: modeling and mathematical theory
- Homogenization of variational functionals with nonstandard growth in perforated domains
- \(\varGamma \)-convergence and homogenization of functionals in Sobolev spaces with variable exponents
- A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
- The concentration-compactness principle for variable exponent spaces and applications
- Existence of solution to a critical equation with variable exponent
- Existence of solution to a critical trace equation with variable exponent
- Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
- Subcritical approximation of a Yamabe type non local equation: a Gamma-convergence approach
- Compact embeddings for Sobolev spaces of variable exponents and existence of solutions for nonlinear elliptic problems involving the p(x)-Laplacian and its critical exponent
- Multiple solutions for a class of p ( x )-Laplacian equations in involving the critical exponent
- Evolution PDEs with Nonstandard Growth Conditions
- Existence of Solutions for a Class of Problems in IR N Involving the p(x)-Laplacian
- Variable Exponent, Linear Growth Functionals in Image Restoration
- On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)
This page was built for publication: A gamma convergence approach to the critical Sobolev embedding in variable exponent spaces
