Global multiplicity for parametric anisotropic Neumann (p,q)-equations
DOI:
https://doi.org/10.12775/TMNA.2022.010Słowa kluczowe
Anisotropic operator, superlinear reaction, positive and nodal solutions, critical groupsAbstrakt
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.Bibliografia
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Prawa autorskie (c) 2023 Nikolaos S. Papageorgiou, Vicenţiu D. Rădulescu, Dušan D. Repovš
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