Positive solutions for singular anisotropic $(p,q)$-equations
Analysis of PDEs
2021-01-18 v1
Abstract
In this paper we consider a Dirichlet problem driven by an anisotropic -differential operator and a parametric reaction having the competing effects of a singular term and of a superlinear perturbation. We prove a bifurcation-type theorem describing the changes in the set of positive solutions as the parameter moves. Moreover, we prove the existence of a minimal positive solution and determine the monotonicity and continuity properties of the minimal solution map.
Cite
@article{arxiv.2101.05915,
title = {Positive solutions for singular anisotropic $(p,q)$-equations},
author = {Nikolaos S. Papageorgiou and Patrick Winkert},
journal= {arXiv preprint arXiv:2101.05915},
year = {2021}
}
Comments
arXiv admin note: text overlap with arXiv:2007.00945