Parametric superlinear double phase problems with singular term and critical growth on the boundary
Analysis of PDEs
2022-02-23 v3
Abstract
In this paper we study quasilinear elliptic equations driven by the double phase operator along with a reaction that has a singular and a parametric superlinear term and with a nonlinear Neumann boundary condition of critical growth. Based on a new equivalent norm for Musielak-Orlicz Sobolev spaces and the Nehari manifold along with the fibering method we prove the existence of at least two weak solutions provided the parameter is sufficiently small.
Keywords
Cite
@article{arxiv.2106.15511,
title = {Parametric superlinear double phase problems with singular term and critical growth on the boundary},
author = {Ángel Crespo-Blanco and Nikolaos S. Papageorgiou and Patrick Winkert},
journal= {arXiv preprint arXiv:2106.15511},
year = {2022}
}