Amann-Zehnder type results for p-Laplace problems
Analysis of PDEs
2018-03-19 v1
Abstract
The existence of a nontrivial solution is proved for a class of quasilinear elliptic equations involving, as principal part, either the p-Laplace operator or the operator related to the p-area functional, and a nonlinearity with p-linear growth at infinity. To this aim, Morse theory techniques are combined with critical groups estimates.
Keywords
Cite
@article{arxiv.1611.02640,
title = {Amann-Zehnder type results for p-Laplace problems},
author = {Silvia Cingolani and Marco Degiovanni and Giuseppina Vannella},
journal= {arXiv preprint arXiv:1611.02640},
year = {2018}
}