GROUND STATE SOLUTIONS TO A CLASS OF FRACTIONAL SCHRODINGER EQUATION WITH HARDY POTENTIAL

被引：0

作者：

Du, Xinsheng ^{[1
]}

Wang, Shanshan ^{[1
]}

机构：

[1] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China

来源：

MATHEMATICAL FOUNDATIONS OF COMPUTING | 2024年

关键词：

Fractional Schro<spacing diaeresis>dinger equation; Hardy potential; ground state;

D O I：

10.3934/mfc.2024045

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper, we are concerned with the existence of solutions to the following fractional Schro<spacing diaeresis>dinger equation in R 3 with Hardy potential (-A)su + (|x|2s+ beta )u + lambda ( | x | 2 s - 3 * | u | 2 ) u = omega u+|u|p-1u, x E R3, | x | s where p E (1, 2), s E ( 3 4 , 1) and beta, lambda, omega E R are parameters. Under some suitable assumptions on the parameters, we prove the existence of the ground states solutions or normalized solutions to the above equation by variational methods.

引用

页数：11

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