Monotonicity and symmetry of singular solutions to quasilinear problems

被引：13

作者：

Esposito, Francesco ^{[1
,2
]}

Montoro, Luigi ^{[1
]}

Sciunzi, Berardino ^{[1
]}

机构：

[1] UNICAL, Dipartimento Matemat & Informat, Ponte Pietro Bucci 31B, I-87036 Cosenza, Italy

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

来源：

JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES | 2019年 / 126卷

关键词：

Quasilinear elliptic equations; Singular solutions; Qualitative properties; ELLIPTIC-EQUATIONS; POSITIVE SOLUTIONS; REGULARITY; THEOREMS; MAXIMUM;

D O I：

10.1016/j.matpur.2018.09.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider singular solutions to quasilinear elliptic equations under zero Dirichlet boundary condition. Under suitable assumptions on the nonlinearity we deduce symmetry and monotonicity properties of positive solutions via an improved moving plane procedure. (C) 2018 Published by Elsevier Masson SAS.

引用

页码：214 / 231

页数：18

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