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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| Format: | Article |
| Language: | English |
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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 |
| _version_ | 1811300390947258368 |
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| author | Kaushik Bal |
| author_facet | Kaushik Bal |
| author_sort | Kaushik Bal |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-04-13T06:50:36Z |
| format | Article |
| id | doaj.art-95aee423d9ee492b8ea4b31704cf1ef3 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-04-13T06:50:36Z |
| publishDate | 2016-06-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-95aee423d9ee492b8ea4b31704cf1ef32022-12-22T02:57:25ZengTexas 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 |
| 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 |
| title | 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_short | 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 |
| 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 |