一类非合作椭圆系统解的多重性

IF 0.5 Q3 MATHEMATICS

Advances in Pure and Applied Mathematics Pub Date : 2023-01-01 DOI:10.4236/apm.2023.139040

Xinxue Zhang, Guanggang Liu

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引用次数: 0

摘要

在本文中，我们考虑以下非合作椭圆系统，其中Ω是RN中的有界域，边界是光滑的∂Ω， λ，δ，γ是实参数，并且。我们假设F在0处是关于变量u v的次二次函数。利用克拉克定理的一个变体，我们得到了无穷多个非平凡解(uk,vk)，且k→∞。与现有文献相比，我们不需要假设非线性∇F在无穷远处的行为。

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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Multiplicity of Solutions for a Class of Noncooperative Elliptic Systems

In this paper, we consider the following noncooperative elliptic systems where Ω is a bounded domain in RN with smooth boundary ∂Ω, λ,δ,γ are real parameters, and . We assume that F is subquadratic at zero with respect to the variables u,v. By using a variant Clark’s theorem, we obtain infinitely many nontrivial solutions (uk,vk) with as k → ∞. Compared with the existing literature, we do not need to assume the behavior of the nonlinearity ∇F at infinity.

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来源期刊

Advances in Pure and Applied Mathematics MATHEMATICS-

CiteScore

0.70

自引率

0.00%

发文量