4.4 Article

Existence of Solutions for Critical Systems with Variable Exponents

Journal

MATHEMATICAL MODELLING AND ANALYSIS
Volume 23, Issue 4, Pages 596-610

Publisher

VILNIUS GEDIMINAS TECH UNIV
DOI: 10.3846/mma.2018.036

Keywords

p(x)-Laplacian; generalized Sobolev spaces; critical Sobolev exponents; concentration-compactness principle; critical points theory

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In this work, we deal with elliptic systems under critical growth conditions on the nonlinearities. Using a variant of concentration-compactness principle, we prove an existence result.

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