Some overdetermined problems for the fractional Laplacian equation on the exterior domain and the annular domain

Li Dongsheng; Li Zhenjie

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Some overdetermined problems for the fractional Laplacian equation on the exterior domain and the annular domain

机译：分数拉普拉斯方程在外域和环域上的一些超定问题

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In this paper, by the method of moving planes, we extend the Serrin-type overdetermined problem to the fractional Laplacian equation on the exterior set of a multiply connected domain and the annular domain. (C) 2016 Elsevier Ltd. All rights reserved.

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《Nonlinear Analysis: An International Multidisciplinary Journal》 |2016年第null期|共15页
作者
Li Dongsheng; Li Zhenjie;
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原文格式 PDF
正文语种 eng
中图分类数学分析;
关键词
The fractional Laplacian; The overdetermined problems; Radial symmetry; Method of moving planes;

机译：分数拉普拉斯算子;超定问题;径向对称;动平面法;

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专利

1. Some overdetermined problems for the fractional Laplacian equation on the exterior domain and the annular domain [J] . Li Dongsheng, Li Zhenjie Nonlinear Analysis: An International Multidisciplinary Journal . 2016,第Null期

机译：分数拉普拉斯方程在外域和环域上的一些超定问题
2. Overdetermined problems for the fractional Laplacian in exterior and annular sets [J] . Soave Nicola, Valdinoci Enrico Journal d'analyse mathematique . 2019,第Pta1期

机译：外部和环形套装分数拉普拉斯的过多问题
3. RADIAL SYMMETRY RESULTS FOR BESSEL POTENTIAL INTERGAL EQUATIONS IN EXTERIOR DOMAINS AND IN ANNULAR DOMAINS [J] . Huang Xiaotao, Wang Lihe Communications on pure and applied analysis . 2017,第4期

机译：外部域和环形域的贝尔势整体方程的径向对称结果
4. OVERDETERMINED PROBLEMS IN ANNULAR DOMAINS [C] . Antonio Greco International ISAAC Congress . 2003

机译：环形域中的过度确定的问题
5. On the Laplacian and fractional Laplacian in exterior domains, and applications to the dissipative quasi-geostrophic equation. [D] . Kosloff, Leonardo. 2012

机译：关于外部域中的拉普拉斯算子和分数阶拉普拉斯算子，及其在耗散拟地转方程中的应用。
6. Time-domain comparisons of power law attenuation in causal and noncausal time-fractional wave equations [O] . Xiaofeng Zhao, Robert J. McGough -1

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7. Semilinear equations involving the fractional Laplacian on domains [O] . Chen, Wenxiong, Fang, Yanqin, Yang, Ray 2013

机译：半线性方程涉及域上的分数拉普拉斯算子

Some overdetermined problems for the fractional Laplacian equation on the exterior domain and the annular domain

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