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...
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Texas State University
2014-05-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2014/126/abstr.html |
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doaj-3ade5a4514c94a63a32bd57e64310d472020-11-24T20:47:03ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912014-05-012014126,113Strictly positive solutions for one-dimensional nonlinear elliptic problemsUriel Kaufmann0Ivan Medri1 Univ. Nacional de Cordoba, Argentina Univ. Nacional de Cordoba, Argentina 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.http://ejde.math.txstate.edu/Volumes/2014/126/abstr.htmlElliptic one-dimensional problemsindefinite nonlinearitiessub and supersolutionspositive solutions |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Uriel Kaufmann Ivan Medri |
| spellingShingle |
Uriel Kaufmann Ivan Medri Strictly positive solutions for one-dimensional nonlinear elliptic problems Electronic Journal of Differential Equations Elliptic one-dimensional problems indefinite nonlinearities sub and supersolutions positive solutions |
| author_facet |
Uriel Kaufmann Ivan Medri |
| author_sort |
Uriel Kaufmann |
| title |
Strictly positive solutions for one-dimensional nonlinear elliptic problems |
| title_short |
Strictly positive solutions for one-dimensional nonlinear elliptic problems |
| title_full |
Strictly positive solutions for one-dimensional nonlinear elliptic problems |
| title_fullStr |
Strictly positive solutions for one-dimensional nonlinear elliptic problems |
| title_full_unstemmed |
Strictly positive solutions for one-dimensional nonlinear elliptic problems |
| title_sort |
strictly positive solutions for one-dimensional nonlinear elliptic problems |
| publisher |
Texas State University |
| series |
Electronic Journal of Differential Equations |
| issn |
1072-6691 |
| publishDate |
2014-05-01 |
| description |
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. |
| topic |
Elliptic one-dimensional problems indefinite nonlinearities sub and supersolutions positive solutions |
| url |
http://ejde.math.txstate.edu/Volumes/2014/126/abstr.html |
| work_keys_str_mv |
AT urielkaufmann strictlypositivesolutionsforonedimensionalnonlinearellipticproblems AT ivanmedri strictlypositivesolutionsforonedimensionalnonlinearellipticproblems |
| _version_ |
1716811396633591808 |