关于(p,n)-拉普拉斯Schrödinger方程在Rn中的Stein-Weiss卷积部分

IF 2.8 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2025-07-30 DOI:10.1016/j.aml.2025.109700

Deepak Kumar Mahanta , Patrick Winkert

引用次数: 0

摘要

本文利用山口定理，从Moser-Trudinger不等式的意义上，讨论了一类具有Stein-Weiss反应的(p,n)-Laplace Schrödinger方程在临界指数增长下的正基态解的存在性。

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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On (p,n)-Laplace Schrödinger equations with Stein-Weiss convolution parts in Rn

By using the mountain pass theorem, this article deals with the existence of positive ground state solutions to a class of

(p, n)

-Laplace Schrödinger equations with Stein-Weiss reaction under critical exponential growth in the sense of the Moser–Trudinger inequality in the whole

R^{n}

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来源期刊

Applied Mathematics Letters 数学-应用数学

CiteScore

7.70

自引率

5.40%

发文量

347

审稿时长

10 days

期刊介绍： The purpose of Applied Mathematics Letters is to provide a means of rapid publication for important but brief applied mathematical papers. The brief descriptions of any work involving a novel application or utilization of mathematics, or a development in the methodology of applied mathematics is a potential contribution for this journal. This journal''s focus is on applied mathematics topics based on differential equations and linear algebra. Priority will be given to submissions that are likely to appeal to a wide audience.