基于Morse理论的离散kirchhoff型问题非平凡解

IF 3.2 1区数学 Q1 MATHEMATICS

Advances in Nonlinear Analysis Pub Date : 2022-01-01 DOI:10.1515/anona-2022-0251

Y. Long

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引用次数: 15

摘要

摘要在本文中，我们研究了当非线性在零和无穷大处都谐振时的离散基尔霍夫型问题。将变分法与Morse理论相结合，得到了一系列关于非平凡解存在性的结果。提供了几个例子来说明我们的结果的应用。

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Nontrivial solutions of discrete Kirchhoff-type problems via Morse theory

Abstract In this article, we study discrete Kirchhoff-type problems when the nonlinearity is resonant at both zero and infinity. We establish a series of results on the existence of nontrivial solutions by combining variational method with Morse theory. Several examples are provided to illustrate applications of our results.

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来源期刊

Advances in Nonlinear Analysis MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

6.00

自引率

9.50%

发文量

审稿时长

30 weeks

期刊介绍： Advances in Nonlinear Analysis (ANONA) aims to publish selected research contributions devoted to nonlinear problems coming from different areas, with particular reference to those introducing new techniques capable of solving a wide range of problems. The Journal focuses on papers that address significant problems in pure and applied nonlinear analysis. ANONA seeks to present the most significant advances in this field to a wide readership, including researchers and graduate students in mathematics, physics, and engineering.