Uniqueness of a positive solution for quasilinear elliptic equations in Heisenberg group
In this note we address the question of uniqueness of the Brezis-Oswald problem for the p-Laplacian operator in Heisenberg Group. The non-availability of $C^{1,\alpha}$ regularity for all $1<p<\infty$ is the problem to extend the proof of Diaz-Saa [10] in the Heisenberg Group case. We o...
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Texas State University
2016-06-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2016/130/abstr.html |
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doaj-95aee423d9ee492b8ea4b31704cf1ef32020-11-24T22:28:06ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912016-06-012016130,17Uniqueness of a positive solution for quasilinear elliptic equations in Heisenberg groupKaushik Bal0 Indian Inst. of Technology, Kanpur, India In this note we address the question of uniqueness of the Brezis-Oswald problem for the p-Laplacian operator in Heisenberg Group. The non-availability of $C^{1,\alpha}$ regularity for all $1<p<\infty$ is the problem to extend the proof of Diaz-Saa [10] in the Heisenberg Group case. We overcome the problem by proving directly a generalized version of Diaz-Saa inequality in the Heisenberg Group.http://ejde.math.txstate.edu/Volumes/2016/130/abstr.htmlQuasilinear elliptic equationPicone's identityHeisenberg group |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Kaushik Bal |
| spellingShingle |
Kaushik Bal Uniqueness of a positive solution for quasilinear elliptic equations in Heisenberg group Electronic Journal of Differential Equations Quasilinear elliptic equation Picone's identity Heisenberg group |
| author_facet |
Kaushik Bal |
| author_sort |
Kaushik Bal |
| title |
Uniqueness of a positive solution for quasilinear elliptic equations in Heisenberg group |
| title_short |
Uniqueness of a positive solution for quasilinear elliptic equations in Heisenberg group |
| title_full |
Uniqueness of a positive solution for quasilinear elliptic equations in Heisenberg group |
| title_fullStr |
Uniqueness of a positive solution for quasilinear elliptic equations in Heisenberg group |
| title_full_unstemmed |
Uniqueness of a positive solution for quasilinear elliptic equations in Heisenberg group |
| title_sort |
uniqueness of a positive solution for quasilinear elliptic equations in heisenberg group |
| publisher |
Texas State University |
| series |
Electronic Journal of Differential Equations |
| issn |
1072-6691 |
| publishDate |
2016-06-01 |
| description |
In this note we address the question of uniqueness of the Brezis-Oswald
problem for the p-Laplacian operator in Heisenberg Group. The non-availability
of $C^{1,\alpha}$ regularity for all $1<p<\infty$ is the problem to extend
the proof of Diaz-Saa [10] in the Heisenberg Group case. We overcome
the problem by proving directly a generalized version of Diaz-Saa inequality
in the Heisenberg Group. |
| topic |
Quasilinear elliptic equation Picone's identity Heisenberg group |
| url |
http://ejde.math.txstate.edu/Volumes/2016/130/abstr.html |
| work_keys_str_mv |
AT kaushikbal uniquenessofapositivesolutionforquasilinearellipticequationsinheisenberggroup |
| _version_ |
1725747872721272832 |