Concave-convex effects for critical quasilinear elliptic problems

2016/10/14 by Goulart, C., da Silva, E. D., Carvalho, M. L. M. +1
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1610.04652

Abstract

It is established existence, multiplicity and asymptotic behavior of positive solutions for a quasilinear elliptic problem driven by the Φ-Laplacian operator. One of these solutions is obtained as ground state solution by applying the well known Nehari method. The semilinear term in the quasilinear equation is a concave-convex function which presents a critical behavior at infinity. The concentration compactness principle is used in order to recover the compactness required in variational methods.

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