Multiplicity of solutions of some quasilinear equations in ℝ^N with variable exponents and concave-convex nonlinearities

2014/09/02 by Claudianor O. Alves, Alves, Claudianor O., José L. P. Barreiro +3
Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Nonlinear Differential Equations Analysis #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.1409.0910

openalex publication_date 2014/09/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we prove multiplicity of solutions for a class of quasilinear problems in ℝ^N involving variable exponents and nonlinearities of concave-convex type. The main tools used are variational methods, more precisely, Ekeland's variational principle and Nehari manifolds.

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