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arXiv · 1409.0910

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
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Abstract

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.

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Claudianor O. Alves, José L. P. Barreiro, José V. A. Gonçalves. 2014-09-02. Multiplicity of solutions of some quasilinear equations in ${\mathbb{R}^{N}}$ with variable exponents and concave-convex nonlinearities. https://arxiv.org/abs/1409.0910

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