Multiple solutions for elliptic equations involving a general operator in divergence form
Analysis of PDEs
2016-08-26 v1
Abstract
In this paper, exploiting variational methods, the existence of three weak solutions for a class of elliptic equations involving a general operator in divergence form and with Dirichlet boundary condition is investigated. Several special cases are analyzed. In conclusion, for completeness, a concrete example of an application is presented by finding the existence of three nontrivial weak solutions for an uniformly elliptic second-order problem on a bounded Euclidean domain.
Cite
@article{arxiv.1608.07071,
title = {Multiple solutions for elliptic equations involving a general operator in divergence form},
author = {Giovanni Molica Bisci and Dušan Repovš},
journal= {arXiv preprint arXiv:1608.07071},
year = {2016}
}