A Liouville type theorem for p-Laplace equations
In this note we study solutions defined on the whole space R^N for the p-Laplace equation $$ \hbox{div}(| \nabla u|^{p-2}\nabla u)+f(u)=0. $$ Under an appropriate condition on the growth of f, which is weaker than conditions previously considered in McCoy [3] and Cuccu-Mhammed-Porru [1], we p...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2015-07-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2015/182/abstr.html |
| _version_ | 1818192864008470528 |
|---|---|
| author | Cristian Enache |
| author_facet | Cristian Enache |
| author_sort | Cristian Enache |
| collection | DOAJ |
| description | In this note we study solutions defined on the whole space R^N
for the p-Laplace equation
$$
\hbox{div}(| \nabla u|^{p-2}\nabla u)+f(u)=0.
$$
Under an appropriate condition on the growth of f, which is weaker
than conditions previously considered in McCoy [3] and
Cuccu-Mhammed-Porru [1], we prove the non-existence of non-trivial
positive solutions. |
| first_indexed | 2024-12-12T00:37:16Z |
| format | Article |
| id | doaj.art-fe3125b188c441b4b89275113b2c3715 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-12T00:37:16Z |
| publishDate | 2015-07-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-fe3125b188c441b4b89275113b2c37152022-12-22T00:44:20ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912015-07-012015182,17A Liouville type theorem for p-Laplace equationsCristian Enache0 Romanian Academy, Bucharest, Romania In this note we study solutions defined on the whole space R^N for the p-Laplace equation $$ \hbox{div}(| \nabla u|^{p-2}\nabla u)+f(u)=0. $$ Under an appropriate condition on the growth of f, which is weaker than conditions previously considered in McCoy [3] and Cuccu-Mhammed-Porru [1], we prove the non-existence of non-trivial positive solutions.http://ejde.math.txstate.edu/Volumes/2015/182/abstr.htmlp-Laplace equationLiouville theorementire solutions |
| spellingShingle | Cristian Enache A Liouville type theorem for p-Laplace equations Electronic Journal of Differential Equations p-Laplace equation Liouville theorem entire solutions |
| title | A Liouville type theorem for p-Laplace equations |
| title_full | A Liouville type theorem for p-Laplace equations |
| title_fullStr | A Liouville type theorem for p-Laplace equations |
| title_full_unstemmed | A Liouville type theorem for p-Laplace equations |
| title_short | A Liouville type theorem for p-Laplace equations |
| title_sort | liouville type theorem for p laplace equations |
| topic | p-Laplace equation Liouville theorem entire solutions |
| url | http://ejde.math.txstate.edu/Volumes/2015/182/abstr.html |
| work_keys_str_mv | AT cristianenache aliouvilletypetheoremforplaplaceequations AT cristianenache liouvilletypetheoremforplaplaceequations |