Bifurcations for semilinear elliptic equations with convex nonlinearity
We investigate the exact number of positive solutions of the semilinear Dirichlet boundary value problem $Delta u+f(u) = 0$ on a ball in ${mathbb R}^n$ where $f$ is a strictly convex $C^2$ function on $[0,infty)$. For the one-dimensional case we classify all strictly convex $C^2$ functions according...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
1999-10-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/1999/43/abstr.html |