具有非线性边界条件的非合作基尔霍夫型变指数椭圆系统解的多重性

Axioms Pub Date : 2024-05-14 DOI:10.3390/axioms13050325

Yiying Mao, Yang Yang

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摘要

考虑到一类具有非线性边界条件的非合作基尔霍夫型 p(x)-Laplacian 椭圆系统的解，我们利用变分法和极限指数理论，在某些基本假设条件下推导出了一系列解。这项研究的新颖之处在于，我们采用了另一种方法来验证 (PS)c* 条件，与以往文献中引用的方法有所不同。

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Multiplicity of Solutions for the Noncooperative Kirchhoff-Type Variable Exponent Elliptic System with Nonlinear Boundary Conditions

Considering the solutions of a class of noncooperative Kirchhoff-type p(x)-Laplacian elliptic systems with nonlinear boundary conditions, we derive a sequence of solutions utilizing both the variational method and limit index theory under certain underlying assumptions. The novelty of this study is that we verify the (PS)c* condition using another method, diverging from the approaches cited in the previous literature.

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Axioms

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