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arXiv:1409.0910 [math.AP]AbstractReferencesReviewsResources

Multiplicity of solutions of some quasilinear equations in ${\mathbb{R}^{N}}$ with variable exponents and concave-convex nonlinearities

Claudianor O. Alves, José L. P. Barreiro, José V. A. Gonçalves

Published 2014-09-02Version 1

In this paper, we prove multiplicity of solutions for a class of quasilinear problems in $ \mathbb{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.

Comments: arXiv admin note: substantial text overlap with arXiv:1409.0140
Categories: math.AP
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