Existence of non-negative solutions for nonlinear equations in the semi-positone case
Using the fibring method we prove the existence of non-negative solution of the p-Laplacian boundary value problem $-Delta_pu=lambda f(u)$, for any $lambda >0$ on any regular bounded domain of $mathbb{R}^N$, in the special case $f(t)=t^q-1$.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2006-09-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/conf-proc/14/y2/abstr.html |
| Summary: | Using the fibring method we prove the existence of non-negative solution of the p-Laplacian boundary value problem $-Delta_pu=lambda f(u)$, for any $lambda >0$ on any regular bounded domain of $mathbb{R}^N$, in the special case $f(t)=t^q-1$. |
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| ISSN: | 1072-6691 |