包含一阶项的p-拉普拉斯系统奇异解的对称性和单调性

IF 1.3 3区数学 Q1 MATHEMATICS

Advances in Calculus of Variations Pub Date : 2023-11-29 DOI:10.1515/acv-2023-0043

Stefano Biagi, Francesco Esposito, Luigi Montoro, Eugenio Vecchi

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引用次数: 1

摘要

我们考虑了一类由p-拉普拉斯算子驱动且附加非线性一阶项的偏微分方程系统的正奇异解(即具有不可移动的奇异点)。通过谨慎地使用一种新的移动平面方法，我们证明了解的对称性。在标量情况下，结果已经是新的。

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

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.

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来源期刊

Advances in Calculus of Variations MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

3.90

自引率

5.90%

发文量

审稿时长

>12 weeks

期刊介绍： Advances in Calculus of Variations publishes high quality original research focusing on that part of calculus of variation and related applications which combines tools and methods from partial differential equations with geometrical techniques.