Positive bounded solutions for semilinear elliptic systems with indefinite weights in the half-space
In this article, we study the existence and nonexistence of positive bounded solutions of the Dirichlet problem $$\displaylines{ -\Delta u=\lambda p(x)f(u,v),\quad \text{in } {\mathbb{R}}_+^n,\cr -\Delta v=\lambda q(x)g(u,v), \quad \text{in } {\mathbb{R}}_+^n,\cr u=v=0\quad \text{on }\partia...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2015-06-01
|
| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2015/177/abstr.html |