Positive solutions of nonlinear elliptic equations in a half space in R<sup><small>2</small></sup>
We study the existence and the asymptotic behaviour of positive solutions of the nonlinear equation $Delta u+f(.,u)=0$, in the domain $D={(x_1,x_2)in mathbb{R}^2:x_2>0}$, with $u=0$ on the boundary. The aim is to prove some existence results for the above equation in a general setting by using a...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2002-05-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2002/41/abstr.html |
| Summary: | We study the existence and the asymptotic behaviour of positive solutions of the nonlinear equation $Delta u+f(.,u)=0$, in the domain $D={(x_1,x_2)in mathbb{R}^2:x_2>0}$, with $u=0$ on the boundary. The aim is to prove some existence results for the above equation in a general setting by using a fixed-point argument. |
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| ISSN: | 1072-6691 |