A global solution curve for a class of semilinear equations
We use bifurcation theory to give a simple proof of existence and uniqueness of a positive solution for the problem $$ Delta u - lambda u+u^p = 0 quad mbox{for } |x| < 1, quad u = 0 quad mbox{on } |x| = 1, $$ where $x in {mathbb R}^n$, for any integer $n geq 1$, and real 1 less than $p (n+2)/(n-2...
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| Format: | Article |
| Language: | English |
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Texas State University
1998-11-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/conf-proc/01/k1/abstr.html |