Existence of solutions for a class of p(x)-laplacian equations involving a concave-convex nonlinearity with critical growth in ℝ^N

2013/04/26 by Claudianor O. Alves, Alves, Claudianor O., Marcelo C. Ferreira +1
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Differential Equations Analysis #Nonlinear Partial Differential Equations #math.AP

paper · pdf · doi:10.48550/arxiv.1304.7142

To appear in Topological Methods in Nonlinear Analysis. arXiv admin note: text overlap with arXiv:1304.7141

openalex publication_date 2013/04/26 · arxiv created 2013/12/11 · arxiv updated 2013/12/12 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We prove the existence of solutions for a class of quasilinear problems involving variable exponents and with nonlinearity having critical growth. The main tool used is the variational method, more precisely, Ekeland's Variational Principle and the Mountain Pass Theorem.

Citations

• Nonlinear perturbations of a p(x)-Laplacian equation with critical growth in ℝ^N

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