Global structure of radial positive solutions for a prescribed mean curvature problem in a ball

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• 作者：Ruyun Ma ; ¹ ; ^{mary@nwnu.edu.cn" class="auth_mail" title="E-mail the corresponding author} ; Hongliang Gao ^{gaohongliang101@163.com" class="auth_mail" title="E-mail the corresponding author} ; Yanqiong Lu ^{linmu8610@163.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：34B10 ; 34B18
• 刊名：Journal of Functional Analysis
• 出版年：2016
• 出版时间：1 April 2016
• 年：2016
• 卷：270
• 期：7
• 页码：2430-2455
• 全文大小：452 K

文摘

In this paper, we are concerned with the global structure of radial positive solutions of boundary value problem where ${\varphi }_N(y)=\frac{y}{\sqrt{1-|y{|}^2}}$, y∈R^N$y\in {\mathbb{R}}^N$, λ   is a positive parameter, B(R)={x∈R^N:|x|<R}$B(R)=\{x\in {\mathbb{R}}^N:|x|<R\}$, and |⋅|$|\cdot |$ denotes the Euclidean norm in R^N${\mathbb{R}}^N$. All results, depending on the behavior of nonlinear term f near 0, are obtained by using global bifurcation techniques.