Positive solutions for weighted singular $p$-Laplace equations via Nehari manifolds
Analysis of PDEs
2019-11-13 v2
Abstract
In this paper we study weighted singular -Laplace equations involving a bounded weight function which can be discontinuous. Due to its discontinuity classical regularity results cannot be applied. Based on Nehari manifolds we prove the existence of at least two positive bounded solutions of such problems.
Keywords
Cite
@article{arxiv.1906.06527,
title = {Positive solutions for weighted singular $p$-Laplace equations via Nehari manifolds},
author = {Nikolaos S. Papageorgiou and Patrick Winkert},
journal= {arXiv preprint arXiv:1906.06527},
year = {2019}
}