Existence of positive solutions for nonlinear boundary-value problems in unbounded domains of $mathbb{R}^{n}$
Let $D$ be an unbounded domain in $mathbb{R}^{n}$ ($ngeq 2$) with a nonempty compact boundary $partial D$. We consider the following nonlinear elliptic problem, in the sense of distributions, $$displaylines{ Delta u=f(.,u),quad u>0quad hbox{in }D,cr uig|_{partial D}=alpha varphi ,cr lim_{|x|o +...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2005-12-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2005/143/abstr.html |