Analysis of positive solutions for classes of Laplacian systems with sign change weight functions and nonlinear boundary conditions

IF 1.3 Q2 MATHEMATICS, APPLIED Results in Applied Mathematics Pub Date : 2025-02-01 Epub Date: 2024-12-12 DOI:10.1016/j.rinam.2024.100525
A. Shabanpour, S.H. Rasouli
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引用次数: 0

Abstract

We establish some results for positive solutions to class of Laplacian systems with positive parameter, sign change weight functions and nonlinear boundary conditions, in particular, we discuss the existence of positive solutions for a certain range of our parameter using the method of sub-super solutions. Additionally, we introduce novel conditions to ensure the existence of positive solutions for the given system.
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一类具有变符号权函数和非线性边界条件的拉普拉斯系统的正解分析
本文建立了一类具有正参数、变号权函数和非线性边界条件的拉普拉斯系统的正解的一些结果,特别是用次上解的方法讨论了在某一参数范围内正解的存在性。此外,我们引入了新的条件来保证给定系统正解的存在性。
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来源期刊
Results in Applied Mathematics
Results in Applied Mathematics Mathematics-Applied Mathematics
CiteScore
3.20
自引率
10.00%
发文量
50
审稿时长
23 days
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