Multiplicity of positive radial solutions of a singular mean curvature equations in Minkowski space

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• 作者：Minghe Pei ; Libo Wang ; ^{wlb_math@163.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Mean curvature equations ; Singular Dirichlet problem ; Radial solutions ; Leggett&ndash ; Williams&rsquo ; fixed point theorem
• 刊名：Applied Mathematics Letters
• 出版年：2016
• 出版时间：October 2016
• 年：2016
• 卷：60
• 期：Complete
• 页码：50-55
• 全文大小：540 K

文摘

In this article, by using the Leggett–Williams’ fixed point theorem, we prove the existence of at least three positive radial solutions of the singular Dirichlet problem for the prescribed mean curvature equation in Minkowski space and the corresponding one-parameter problem. Here Ω$\Omega$ is a unit ball in R^N${\mathbb{R}}^N$.