The concentration-compactness principle for variable exponent spaces and applications

2009/06/10 by Julián Fernández Bonder, Analía Silva, Bonder, J. Fernandez +1
Computer Science · Mathematics · #35J20 #35J60 #Advanced Harmonic Analysis Research #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.0906.1922

openalex publication_date 2009/06/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Related

• The concentration-compactness principles for W^s,p(⋅,⋅)(ℝ^N) and application
• A study and an application of the concentration compactness type principle
• On a study and applications of the Concentration-compactness type principle for Systems with critical terms in ℝ^N
• The concentration-compactness principle for Musielak-Orlicz spaces and applications
• The concentration-compactness principle for Orlicz spaces and applications