Concave-convex effects for critical quasilinear elliptic problems
Analysis of PDEs
2016-10-18 v1
Abstract
It is established existence, multiplicity and asymptotic behavior of positive solutions for a quasilinear elliptic problem driven by the -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.
Cite
@article{arxiv.1610.04652,
title = {Concave-convex effects for critical quasilinear elliptic problems},
author = {C. Goulart and E. D. da Silva and M. L. M. Carvalho and J. V. Goncalves},
journal= {arXiv preprint arXiv:1610.04652},
year = {2016}
}