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March  2016, 15(2): 399-412. doi: 10.3934/cpaa.2016.15.399

## Boundary value problems for a semilinear elliptic equation with singular nonlinearity

 1 Department of Mathematics, Henan Normal University, Xinxiang, 453007, China

Received  March 2015 Revised  October 2015 Published  January 2016

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.
Citation: Zongming Guo, Yunting Yu. Boundary value problems for a semilinear elliptic equation with singular nonlinearity. Communications on Pure & Applied Analysis, 2016, 15 (2) : 399-412. doi: 10.3934/cpaa.2016.15.399
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