Symmetry and monotonicity of singular solutions to p-Laplacian systems involving a first order term

被引：0

作者：

Biagi, Stefano ^{[2
]}

Esposito, Francesco ^{[1
]}

Montoro, Luigi ^{[3
]}

Vecchi, Eugenio ^{[4
]}

机构：

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

[2] Politecn Milan, Dipartimento Matemat, Via Bonardi 9, I-20133 Milan, Italy

[3] Univ Calabria, Dipartimento Matemat & Informat, Ponte Pietro Bucci 31B, I-87036 Cosenza, Italy

[4] Univ Bologna, Dipartimento Matemat, Piazza Porta San Donato 5, I-40126 Bologna, Italy

来源：

ADVANCES IN CALCULUS OF VARIATIONS | 2024年 / 17卷 / 04期

关键词：

Singular solutions; p-Laplacian systems; moving plane method; POSITIVE SOLUTIONS; REGULARITY; THEOREMS; MAXIMUM; DECAY;

D O I：

10.1515/acv-2023-0043

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider positive singular solutions (i.e. with a non-removable singularity) of a system of PDEs driven by p-Laplacian operators and with the additional presence of a nonlinear first order term. By a careful use of a rather new version of the moving plane method, we prove the symmetry of the solutions. The result is already new in the scalar case.

引用

页码：1519 / 1541

页数：23

共 29 条

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