Multiplicity of solutions for a nonhomogeneous quasilinear elliptic problem with critical growth
Analysis of PDEs
2017-03-28 v1
Abstract
It is established some existence and multiplicity of solution results for a quasilinear elliptic problem driven by -Laplacian operator. One of these solutions is built as a ground state solution. In order to prove our main results we apply the Nehari method combined with the concentration compactness theorem in an Orlicz-Sobolev framework. One of the difficulties in dealing with this kind of operator is the lost of homogeneity properties.
Keywords
Cite
@article{arxiv.1703.08592,
title = {Multiplicity of solutions for a nonhomogeneous quasilinear elliptic problem with critical growth},
author = {M. L. M. Carvalho and J. V. Goncalves and C. Goulart and O. H. Miyagaki},
journal= {arXiv preprint arXiv:1703.08592},
year = {2017}
}
Comments
arXiv admin note: text overlap with arXiv:1610.04652