Anisotropic equations with indefinite potential and competing nonlinearities
Analysis of PDEs
2020-09-15 v1
Abstract
We consider a nonlinear Dirichlet problem driven by a variable exponent -Laplacian plus an indefinite potential term. The reaction has the competing effects of a parametric concave (sublinear) term and of a convex (superlinear) perturbation (an anisotropic concave-convex problem). We prove a bifurcation-type theorem describing the changes in the set of positive solutions as the positive parameter varies. Also, we prove the existence of minimal positive solutions.
Cite
@article{arxiv.2009.05960,
title = {Anisotropic equations with indefinite potential and competing nonlinearities},
author = {Nikolaos S. Papageorgiou and Vicenţiu D. Rădulescu and Dušan D. Repovš},
journal= {arXiv preprint arXiv:2009.05960},
year = {2020}
}