Existence of entire solutions for semilinear elliptic systems under the Keller-Osserman condition
Under the Keller-Osserman condition on $f+g$, we show the existence and nonexistence of entire solutions for the semilinear elliptic system $Delta u =p(x)f(v), quad Delta v =q(x)g(u),quad xin mathbb{R}^N$, where $p,q:mathbb{R}^No [0,infty)$ are continuous functions.
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2011-03-01
|
| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2011/39/abstr.html |