BOUNDARY VALUE PROBLEMS FOR A SEMILINEAR ELLIPTIC EQUATION WITH SINGULAR NONLINEARITY

被引：0

作者：

Guo, Zongming ^{[1
]}

Yu, Yunting ^{[1
]}

机构：

[1] Henan Normal Univ, Dept Math, Xinxiang 453007, Peoples R China

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2016年 / 15卷 / 02期

关键词：

Semilinear elliptic equations; boundary value problems; singular nonlinearities; branches of solutions; Liouville type results; ELECTROSTATIC MEMS; POSITIVE SOLUTIONS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Structure of solutions of boundary value problems for a semilinear elliptic equation with singular nonlinearity is studied. It is seen that the structure of solutions relies on the boundary values. The global branches of solutions of the boundary value problems are established. Moreover, some Liouville type results for the entire solutions of the equation are also obtained.

引用

页码：399 / 412

页数：14

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