Abstract
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.
Citation
Claudianor O. Alves. José L. P. Barreiro. José V. A. Gonçalves. "Multiplicity of solutions of some quasilinear equations in ${\mathbb{R}^{N}}$ with variable exponents and concave-convex nonlinearities." Topol. Methods Nonlinear Anal. 47 (2) 529 - 559, 2016. https://doi.org/10.12775/TMNA.2016.015
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