Non-existence of positive radial solution for semipositone weighted p-Laplacian problems
We prove the non-existence of positive radial solution to a semipositone weighted $p$-Laplacian problem whenever the weight is sufficiently large. Our main tools are a Pohozaev type identity and a comparison principle.
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2015-05-01
|
| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2015/130/abstr.html |
| id |
doaj-fe6cdc80f7b84ead8e0c0fd393f418c5 |
|---|---|
| record_format |
Article |
| spelling |
doaj-fe6cdc80f7b84ead8e0c0fd393f418c52020-11-24T21:25:20ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912015-05-012015130,19Non-existence of positive radial solution for semipositone weighted p-Laplacian problemsSigifredo Herron0Emer Lopera1 Univ. Nacional de Colombia, Medellin, Colombia Univ. Nacional de Colombia, Medellin, Colombia We prove the non-existence of positive radial solution to a semipositone weighted $p$-Laplacian problem whenever the weight is sufficiently large. Our main tools are a Pohozaev type identity and a comparison principle.http://ejde.math.txstate.edu/Volumes/2015/130/abstr.htmlSemipositonequasilinear weighted elliptic equationpositive radial solutionnon-existence resultPohozaev identity |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Sigifredo Herron Emer Lopera |
| spellingShingle |
Sigifredo Herron Emer Lopera Non-existence of positive radial solution for semipositone weighted p-Laplacian problems Electronic Journal of Differential Equations Semipositone quasilinear weighted elliptic equation positive radial solution non-existence result Pohozaev identity |
| author_facet |
Sigifredo Herron Emer Lopera |
| author_sort |
Sigifredo Herron |
| title |
Non-existence of positive radial solution for semipositone weighted p-Laplacian problems |
| title_short |
Non-existence of positive radial solution for semipositone weighted p-Laplacian problems |
| title_full |
Non-existence of positive radial solution for semipositone weighted p-Laplacian problems |
| title_fullStr |
Non-existence of positive radial solution for semipositone weighted p-Laplacian problems |
| title_full_unstemmed |
Non-existence of positive radial solution for semipositone weighted p-Laplacian problems |
| title_sort |
non-existence of positive radial solution for semipositone weighted p-laplacian problems |
| publisher |
Texas State University |
| series |
Electronic Journal of Differential Equations |
| issn |
1072-6691 |
| publishDate |
2015-05-01 |
| description |
We prove the non-existence of positive radial solution to
a semipositone weighted $p$-Laplacian problem whenever the weight is
sufficiently large. Our main tools are a Pohozaev type identity
and a comparison principle. |
| topic |
Semipositone quasilinear weighted elliptic equation positive radial solution non-existence result Pohozaev identity |
| url |
http://ejde.math.txstate.edu/Volumes/2015/130/abstr.html |
| work_keys_str_mv |
AT sigifredoherron nonexistenceofpositiveradialsolutionforsemipositoneweightedplaplacianproblems AT emerlopera nonexistenceofpositiveradialsolutionforsemipositoneweightedplaplacianproblems |
| _version_ |
1725983346859704320 |