Positive solutions for singular double phase problems
Analysis of PDEs
2021-05-17 v1
Abstract
We study the existence of positive solutions for a class of double phase Dirichlet equations which have the combined effects of a singular term and of a parametric superlinear term. The differential operator of the equation is the sum of a -Laplacian and of a weighted -Laplacian () with discontinuous weight. Using the Nehari method, we show that for all small values of the parameter , the equation has at least two positive solutions.
Keywords
Cite
@article{arxiv.2105.06726,
title = {Positive solutions for singular double phase problems},
author = {Nikolaos S. Papageorgiou and Dušan D. Repovš and Calogero Vetro},
journal= {arXiv preprint arXiv:2105.06726},
year = {2021}
}