BOUNDARY VALUE PROBLEMS FOR A SEMILINEAR ELLIPTIC EQUATION WITH SINGULAR NONLINEARITY

作者：Guo, Zongming^*; Yu, Yunting^*

来源：Communications on Pure and Applied Analysis, 2016, 15(2): 399-412.

DOI：10.3934/cpaa.2016.15.399

• Semilinear elliptic equations
• boundary value problems
• singular nonlinearities
• branches of solutions
• Liouville type results

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.

• 出版日期2016-3
• 单位河南师范大学