Over-determined problems for -Hessian equations in ring-shaped domains

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• 作者：Bo Wang ^{wangbo89630@mail.bnu.edu.cn" class="auth_mail" title="E-mail the corresponding author} ; Jiguang Bao ; ^{jgbao@bnu.edu.cn" class="auth_mail" title="E-mail the corresponding author}
• 关键词：primary ; 35J60 ; secondary ; 35J15
• 刊名：Nonlinear Analysis
• 出版年：2015
• 出版时间：November 2015
• 年：2015
• 卷：127
• 期：Complete
• 页码：143-156
• 全文大小：656 K

文摘

In this paper, we firstly use a variant of the moving plane method of Alexandroff to obtain radial symmetry of solutions for k$k$-Hessian equations in annulus-type domains, which can be regarded as a generalization of Gidas–Ni–Nirenberg result in 1979. Then we consider an over-determined problem for k$k$-Hessian equations in ring-shaped domains and prove the radial symmetry of the solutions and the domains.