On sequences of solutions for discrete anisotropic equations
Analysis of PDEs
2016-08-26 v1 Classical Analysis and ODEs
Abstract
Taking advantage of a recent critical point theorem, the existence of infinitely many solutions for an anisotropic problem with a parameter is established. More precisely, a concrete interval of positive parameters, for which the treated problem admits infinitely many solutions, is determined without symmetry assumptions on the nonlinear data. Our goal was achieved by requiring an appropriate behavior of the nonlinear terms at zero, without any additional conditions.
Keywords
Cite
@article{arxiv.1608.07067,
title = {On sequences of solutions for discrete anisotropic equations},
author = {Giovanni Molica Bisci and Dušan Repovš},
journal= {arXiv preprint arXiv:1608.07067},
year = {2016}
}