Global multiplicity for parametric anisotropic Neumann $(p,q)$-equations
Analysis of PDEs
2023-05-03 v1 Functional Analysis
Abstract
We consider a Neumann boundary value problem driven by the anisotropic -Laplacian plus a parametric potential term. The reaction is ``superlinear". We prove a global (with respect to the parameter) multiplicity result for positive solutions. Also, we show the existence of a minimal positive solution and finally, we produce a nodal solution.
Keywords
Cite
@article{arxiv.2305.01037,
title = {Global multiplicity for parametric anisotropic Neumann $(p,q)$-equations},
author = {Nikolaos S. Papageorgiou and Vicenţiu D. Rădulescu and Dušan D. Repovš},
journal= {arXiv preprint arXiv:2305.01037},
year = {2023}
}