具有不定势的薛定谔-基尔霍夫方程非平凡解的存在性

IF 0.8 4区数学 Q2 MATHEMATICS

Electronic Journal of Differential Equations Pub Date : 2023-02-10 DOI:10.58997/ejde.2023.13

Shuai Jiang, Li Yin

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引用次数: 0

摘要

我们考虑了一类具有一般非线性g和强制变号势V的R3中的薛定谔-基尔霍夫方程，使得薛定谔算子-aΔ +V是不定的。本文所考虑的非线性满足Ambrosetti-Rabinowitz型条件g(t)t≥μ g(t) >0，其中μ>3。利用莫尔斯理论，得到了该问题非平凡解的存在性。

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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Existence of nontrivial solutions for Schrodinger-Kirchhoff equations with indefinite potentials

We consider a class of Schrodinger-Kirchhoff equations in R3 with a general nonlinearity g and coercive sign-changing potential V so that the Schrodinger operator -aΔ +V is indefinite. The nonlinearity considered here satisfies the Ambrosetti-Rabinowitz type condition g(t)t≥μ G(t)>0 with μ>3. We obtain the existence of nontrivial solutions for this problem via Morse theory.

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来源期刊

Electronic Journal of Differential Equations MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.50

自引率

14.30%

发文量

审稿时长

3 months

期刊介绍： All topics on differential equations and their applications (ODEs, PDEs, integral equations, delay equations, functional differential equations, etc.) will be considered for publication in Electronic Journal of Differential Equations.