Symmetry properties of some solutions to some semilinear elliptic equations

被引：0

作者：

Farina, Alberto ^{[1
]}

Malchiodi, Andrea ^{[2
]}

Rizzi, Matteo ^{[3
]}

机构：

[1] Univ Picardie Jules Verne, LAMFA, CNRS UMR 7352, 33 Rue St Leu, F-80039 Amiens, France

[2] Scuola Normale Super Pisa, Piazza Cavalieri 7, I-56126 Pisa, Italy

[3] Scuola Int Super Studi Avanzati, Via Bonomea 265, I-34136 Trieste, Italy

来源：

ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE | 2016年 / 16卷 / 04期

关键词：

POSITIVE SOLUTIONS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we prove some symmetry results for entire solutions to the semilinear equation -Delta u = f(u), with f nonincreasing in a right neighbourhood of the origin. We consider solutions decaying only in some directions and we give some sufficient conditions for them to be radially symmetric with respect to those variables, such as periodicity or the pointwise decay of some derivatives.

引用

页码：1209 / 1234

页数：26

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