Ground states of elliptic problems involving non homogeneous operators
Analysis of PDEs
2015-03-26 v1
Abstract
We investigate the existence of ground states for functionals with nonhomogenous principal part. Roughly speaking, we show that the Nehari manifold method requires no homogeinity on the principal part of a functional. This result is motivated by some elliptic problems involving nonhomogeneous operators. As an application, we prove the existence of a ground state and infinitely many solutions for three classes of boundary value problems.
Keywords
Cite
@article{arxiv.1503.07479,
title = {Ground states of elliptic problems involving non homogeneous operators},
author = {Giovany Figueiredo and Humberto Ramos Quoirin},
journal= {arXiv preprint arXiv:1503.07479},
year = {2015}
}
Comments
14 pages