缩放抽象连接定理及其在Schrödinger-Poisson-Slater方程中的应用

IF 2.3 2区数学 Q1 MATHEMATICS

Journal of Differential Equations Pub Date : 2025-10-08 DOI:10.1016/j.jde.2025.113824

Kanishka Perera , Kaye Silva

引用次数: 0

摘要

我们证明了一个抽象的连接定理，它可以用来证明各种类型的变分椭圆方程解的存在性，包括Schrödinger-Poisson-Slater型方程。

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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On a scaled abstract linking theorem with an application to the Schrödinger–Poisson–Slater equation

We prove an abstract linking theorem that can be used to show existence of solutions to various types of variational elliptic equations, including Schrödinger–Poisson–Slater type equations.

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来源期刊

Journal of Differential Equations 数学-数学

CiteScore

4.40

自引率

8.30%

发文量

543

审稿时长

9 months

期刊介绍： The Journal of Differential Equations is concerned with the theory and the application of differential equations. The articles published are addressed not only to mathematicians but also to those engineers, physicists, and other scientists for whom differential equations are valuable research tools. Research Areas Include: • Mathematical control theory • Ordinary differential equations • Partial differential equations • Stochastic differential equations • Topological dynamics • Related topics