A multiplicity theorem for anisotropic Robin equations
Analysis of PDEs
2021-03-12 v1
Abstract
In this paper we consider an anisotropic Robin problem driven by the -Laplacian and a superlinear reaction. Applying variational tools along with truncation and comparison techniques as well as critical groups, we prove that the problem has at least five nontrivial smooth solutions to be ordered and with sign information: two positive, two negative and the fifth nodal.
Cite
@article{arxiv.2103.06517,
title = {A multiplicity theorem for anisotropic Robin equations},
author = {Nikolaos S. Papageorgiou and Patrick Winkert},
journal= {arXiv preprint arXiv:2103.06517},
year = {2021}
}