Exact multiplicity results for a p-Laplacian positone problem with concave-convex-concave nonlinearities
We study the exact number of positive solutions of a two-point Dirichlet boundary-value problem involving the p-Laplacian operator. We consider the case $p=2$ and the case $p>1$, when the nonlinearity satisfies $f(0)>0$ (positone) and has three distinct simple positive zeros and such that $f&#...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2004-05-01
|
| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2004/72/abstr.html |
| Summary: | We study the exact number of positive solutions of a two-point Dirichlet boundary-value problem involving the p-Laplacian operator. We consider the case $p=2$ and the case $p>1$, when the nonlinearity satisfies $f(0)>0$ (positone) and has three distinct simple positive zeros and such that $f''$ changes sign exactly twice on $(0,infty)$. Note that we may allow $f''$ to change sign more than twice on $(0,infty )$. We also present some interesting examples. |
|---|---|
| ISSN: | 1072-6691 |