具有反幂势和平方根型非线性的HLS下临界Choquard方程的归一化解

IF 2.9 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2024-12-18 DOI:10.1016/j.aml.2024.109430

Jianlun Liu, Hong-Rui Sun, Ziheng Zhang

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引用次数: 0

摘要

本文研究了具有反幂势和平方根型非线性的HLS下临界Choquard方程。在给出约束最小化问题的子可加性的新证明和平方根型非线性的brsamzis - lieb引理的基础上，我们不仅证明了归一化解的存在性，而且给出了归一化解的能量估计。

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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Normalized solutions to HLS lower critical Choquard equation with inverse-power potential and square-root-type nonlinearity

This paper is concerned with the HLS lower critical Choquard equation with inverse-power potential and square-root-type nonlinearity. After giving a novel proof of subadditivity of the constraint minimizing problem and establishing the Brézis–Lieb lemma for square-root-type nonlinearity, we not only prove the existence of normalized solutions but also give its energy estimate.

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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.