GROUND STATE SOLUTIONS AND DECAY ESTIMATION OF CHOQUARD EQUATION WITH CRITICAL EXPONENT AND DIPOLE POTENTIAL

被引：1

作者：

Su, Yu ^{[1
]}

Feng, Zhaosheng ^{[2
]}

机构：

[1] Anhui Univ Sci & Technol, Sch Math & Big Data, Huainan 232001, Anhui, Peoples R China

[2] Univ Texas Rio Grande Valley, Sch Math & Stat Sci, Edinburg, TX 78539 USA

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2023年 / 16卷 / 3-4期

关键词：

Dipole potential; ground state solution; decay estimation; critical exponent; singular potential; NONLINEAR SCHRODINGER-EQUATIONS; UNIQUENESS; EXISTENCE; OPERATORS;

D O I：

10.3934/dcdss.2022112

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study a class of Choquard equations with critical exponent and Dipole potential. We prove the existence of radial ground state solutions for Choquard equations by using the refined Sobolev inequality with the Morrey norm, and show that any nonnegative weak solutions of Choquard equations have additional decay properties in terms of ground state representation.

引用

页码：589 / 601

页数：13

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