A boundary blow-up for sub-linear elliptic problems with a nonlinear gradient term
By a perturbation method and constructing comparison functions, we show the exact asymptotic behaviour of solutions to the semilinear elliptic problem $$ Delta u -|abla u|^q=b(x)g(u),quad u>0 quadext{in }Omega, quad uig|_{partial Omega}=+infty, $$ where $Omega$ is a bounded domain in $mathbb{R}...
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| Format: | Article |
| Language: | English |
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Texas State University
2006-05-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2006/64/abstr.html |