Liouville Results for Fractional Elliptic Equations with Hardy Potential

被引：1

作者：

Zaidi, Cherif ^{[1
]}

机构：

[1] Univ Sfax, Fac Sci, Dept Math, BP 1171, Sfax 3000, Tunisia

来源：

JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS | 2020年 / 32卷 / 04期

关键词：

Morse index; Liouville-type theorems; Pohozaev identity; Monotonicity formula; Hardy potential; MORSE INDEX SOLUTIONS; STABLE-SOLUTIONS; RADIAL SOLUTIONS; DELTA-U; R-N; CLASSIFICATION; STABILITY; THEOREMS; DOMAINS; E(U);

D O I：

10.1007/s10884-019-09775-w

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the nonexistence result for the following nonlinear elliptic equation with a Hardy term for fractional Laplacian : (-Delta)su+lambda|x|2su=|x|a|u|p-1uinRnwhere n >= 2s We prove Liouville type theorems for stable solutions or for solutions which are stable outside a compact set. The main methods used are the integral estimates, the Pohozaev-type identity and the monotonicity formula.

引用

页码：1983 / 1995

页数：13

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