Existence of large solutions for a semilinear elliptic problem via explosive sub- supersolutions
We consider the boundary blow-up nonlinear elliptic problems $Delta upmlambda | abla u|^q=k(x)g(u)$ in a bounded domain with boundary condition $u|_{partial Omega}=+infty$, where $qin [0, 2]$ and $lambdageq0$. Under suitable growth assumptions on $k$ near the boundary and on $g$ both at zero...
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| Format: | Article |
| Language: | English |
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Texas State University
2006-01-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2006/02/abstr.html |