Two-Phase Robin Problem Incorporating Nonlinear Boundary Condition

IF 0.8 Q2 MATHEMATICS

Lobachevskii Journal of Mathematics Pub Date : 2024-07-19 DOI:10.1134/s1995080224600614

F. Hashemi, M. Alimohammady, C. Cesarano

引用次数: 0

Abstract

This article focuses on the analysis of quasilinear equations influenced by the two-phase operator, commonly referred to as the ‘‘double-phase operator’’, while also incorporating a non-linear boundary condition. We prove the multiplicity of solutions through the utilization the method of Nehari manifold, complemented through the utilization of comparative techniques and critical point theory. Furthermore, determine the polarity of these solutions, distinctly identifying one as positive, another as negative, and a third as nodal.

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包含非线性边界条件的两相罗宾问题

摘要本文重点分析了受双相算子（通常称为 "双相算子"）影响，同时还包含非线性边界条件的准线性方程。我们利用内哈里流形方法，并辅以比较技术和临界点理论，证明了解的多重性。此外，我们还确定了这些解的极性，明确指出其中一个为正解，另一个为负解，第三个为节点解。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Lobachevskii Journal of Mathematics MATHEMATICS-

CiteScore

1.50

自引率

42.90%

发文量

127

期刊介绍： Lobachevskii Journal of Mathematics is an international peer reviewed journal published in collaboration with the Russian Academy of Sciences and Kazan Federal University. The journal covers mathematical topics associated with the name of famous Russian mathematician Nikolai Lobachevsky (Lobachevskii). The journal publishes research articles on geometry and topology, algebra, complex analysis, functional analysis, differential equations and mathematical physics, probability theory and stochastic processes, computational mathematics, mathematical modeling, numerical methods and program complexes, computer science, optimal control, and theory of algorithms as well as applied mathematics. The journal welcomes manuscripts from all countries in the English language.