含可能边界奇点的Hardy势拉普拉斯方程Dirichlet问题解的定性性质

IF 1.4 4区工程技术 Q3 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Mathematics in Engineering Pub Date : 2022-01-01 DOI:10.3934/mine.2023017

L. Montoro, B. Sciunzi

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引用次数: 1

摘要

研究有界光滑域上具有Hardy势和一阶项的半线性椭圆型问题的正解 $ \Omega $ 有 $ 0\in \overline \Omega $．在适当的非线性假设条件下，通过移动平面法推导出解的对称性和单调性。

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Qualitative properties of solutions to the Dirichlet problem for a Laplace equation involving the Hardy potential with possibly boundary singularity

We consider positive solutions to semilinear elliptic problems with Hardy potential and a first order term in bounded smooth domain $ \Omega $ with $ 0\in \overline \Omega $. We deduce symmetry and monotonicity properties of the solutions via the moving plane procedure under suitable assumptions on the nonlinearity.

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来源期刊

Mathematics in Engineering MATHEMATICS, INTERDISCIPLINARY APPLICATIONS-

CiteScore

2.20

自引率

0.00%

发文量

审稿时长

12 weeks