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arXiv · 2305.01037

Global multiplicity for parametric anisotropic Neumann $(p,q)$-equations

Nikolaos S. Papageorgiou·Vicenţiu D. Rădulescu·Dušan D. Repovš
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Abstract

We consider a Neumann boundary value problem driven by the anisotropic $(p,q)$-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.

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Nikolaos S. Papageorgiou, Vicenţiu D. Rădulescu, Dušan D. Repovš. 2023-05-01. Global multiplicity for parametric anisotropic Neumann $(p,q)$-equations. https://doi.org/10.12775/tmna.2022.010

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