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arXiv:1304.7142 [math.AP]AbstractReferencesReviewsResources

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

Claudianor O. Alves, Marcelo C. Ferreira

Published 2013-04-26, updated 2013-12-11Version 2

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.

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