(p,q)-Equations with singular and concave convex nonlinearities
Analysis of PDEs
2020-09-16 v2
Abstract
We consider a nonlinear Dirichlet problem driven by the -Laplacian with . The reaction is parametric and exhibits the competing effects of a singular term and of concave and convex nonlinearities. We are looking for positive solutions and prove a bifurcation-type theorem describing in a precise way the set of positive solutions as the parameter varies. Moreover, we show the existence of a minimal positive solution and we study it as a function of the parameter.
Cite
@article{arxiv.2001.01782,
title = {(p,q)-Equations with singular and concave convex nonlinearities},
author = {Nikolaos S. Papageorgiou and Patrick Winkert},
journal= {arXiv preprint arXiv:2001.01782},
year = {2020}
}