基于Lusternik-Schnirelmann范畴的Schrödinger对数方程多解的存在性

IF 2 2区数学 Q1 MATHEMATICS

Analysis and Applications Pub Date : 2023-10-06 DOI:10.1142/s0219530523500240

Claudianor O. Alves, Ismael S. da Silva

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引用次数: 1

摘要

本文研究了形式为[公式:见文]的Schrödinger对数方程的多重解的存在性，其中[公式:见文]是满足一定技术条件的连续函数，[公式:见文]是一个正参数。我们将利用Lusternik-Schnirelmann范畴的概念，通过引入一个新的函数空间，其中能量泛函为[公式:见文本]，建立[公式:见文本]解的多重性。

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Existence of multiple solutions for a Schrödinger logarithmic equation via Lusternik–Schnirelmann category

This paper concerns the existence of multiple solutions for a Schrödinger logarithmic equation of the form [Formula: see text] where [Formula: see text] is a continuous function that satisfies some technical conditions and [Formula: see text] is a positive parameter. We will establish the multiplicity of solution for [Formula: see text] by using the notion of Lusternik–Schnirelmann category, by introducing a new function space where the energy functional is [Formula: see text].

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来源期刊

Analysis and Applications 数学-数学

CiteScore

3.90

自引率

4.50%

发文量

审稿时长

>12 weeks

期刊介绍： Analysis and Applications publishes high quality mathematical papers that treat those parts of analysis which have direct or potential applications to the physical and biological sciences and engineering. Some of the topics from analysis include approximation theory, asymptotic analysis, calculus of variations, integral equations, integral transforms, ordinary and partial differential equations, delay differential equations, and perturbation methods. The primary aim of the journal is to encourage the development of new techniques and results in applied analysis.