Strictly positive solutions for one-dimensional nonlinear elliptic problems
We study the existence and nonexistence of strictly positive solutions for the elliptic problems $Lu=m(x) u^p$ in a bounded open interval, with zero boundary conditions, where $L$ is a strongly uniformly elliptic differential operator, $p\in(0,1)$, and $m$ is a function that changes sign. We a...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2014-05-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2014/126/abstr.html |
| Summary: | We study the existence and nonexistence of strictly positive solutions
for the elliptic problems $Lu=m(x) u^p$ in a bounded open interval,
with zero boundary conditions, where $L$ is a strongly uniformly
elliptic differential operator, $p\in(0,1)$, and $m$ is a function
that changes sign. We also characterize the set of values $p$
for which the problem admits a solution, and in addition an existence
result for other nonlinearities is presented. |
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| ISSN: | 1072-6691 |