参数各向异性Neumann（p，q）-方程的全局多重性

Pub Date : 2023-02-26 DOI:10.12775/TMNA.2022.010

Nikolaos S. Papageorgiou, Vicentiu D. Rădulescu, Dušan D. Repovš

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引用次数: 0

摘要

我们考虑一个由各向异性$（p，q）$-拉普拉斯算子和一个参数势项驱动的Neumann边值问题。该反应是“超线性”的。我们证明了正解的全局（相对于参数）多重性结果。此外，我们还证明了极小正解的存在性，最后，我们得到了节点解。

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

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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