On Semilinear Elliptic Equations with Hardy-Leray Potentials

被引：0

作者：

Li, Yayun ^{[1
]}

Lei, Yutian ^{[2
]}

机构：

[1] Nanjing Univ Finance & Econ, Sch Appl Math, Nanjing 210023, Peoples R China

[2] Nanjing Normal Univ, Sch Math Sci, Jiangsu Key Lab NSLSCS, Nanjing 210023, Peoples R China

来源：

TOKYO JOURNAL OF MATHEMATICS | 2024年 / 47卷 / 01期

关键词：

Hardy-Leray potential; Liouville theorem; classification; method of moving planes; ASYMPTOTIC SYMMETRY; CRITICAL EXPONENTS; POSITIVE SOLUTIONS; LOCAL BEHAVIOR; LIOUVILLE; EXISTENCE;

D O I：

10.3836/tjm/1502179389

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is concerned with a semilinear elliptic equation with the Hardy-Leray potential. We employ the method of moving planes to prove the radial symmetry of positive solutions. Based on this result, we obtain the Liouville theorem in subcritical case. In addition, we find special radial solutions in critical case. All the properties above are similar to the corresponding results of the Lane-Emden equation.

引用

页码：1 / 17

页数：17

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