Boundary value problems for a semilinear elliptic equation withsingular nonlinearity

Zongming Guo; Yunting  Yu

doi:10.3934/cpaa.2016.15.399

Article Contents

2016, Volume 15, Issue 2: 399-412. Doi: 10.3934/cpaa.2016.15.399

This issue Previous Article Existence and nonexistence of positive solutions to an integral system involving Wolff potential Next Article Multi-bump positive solutions of a fractional nonlinear Schrödinger equation in $\mathbb{R}^N$

Boundary value problems for a semilinear elliptic equation with singular nonlinearity

Zongming Guo^1, and
Yunting Yu^1,

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

Received: February 28, 2015

Revised: September 30, 2015

Published: February 2016

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Abstract

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.

Keywords:

Mathematics Subject Classification: Primary: 35B45; Secondary: 35J40.

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References

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