Point rupture solutions of a singular elliptic equation
We consider the elliptic equation $$ Delta u=f(u) $$ in a region $Omegasubsetmathbb{R}^2$, where f is a positive continuous function satisfying $$ lim_{uo 0^{+}}f(u) =infty. $$ Motivated by the thin film equations, a solution $u$ is said to be a point rupture solution if for some $pinOmega...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2013-03-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2013/70/abstr.html |