| dc.contributor.author |
Dwivedi, Gaurav |
|
| dc.contributor.author |
Tyagi, Jagmohan |
|
| dc.date.accessioned |
2016-10-07T09:08:31Z |
|
| dc.date.available |
2016-10-07T09:08:31Z |
|
| dc.date.issued |
2017-02 |
|
| dc.identifier.citation |
Dwivedi, Gaurav and Tyagi, Jagmohan, “Some qualitative questions on the equation −div(a(x,u,∇u))=f(x, u)”, Journal of Mathematical Analysis and Applications, DOI: 10.1016/j.jmaa.2016.08.048, vol. 446, no. 1, pp. 456-469, Feb. 2017. |
|
| dc.identifier.issn |
0022-247X |
|
| dc.identifier.uri |
https://repository.iitgn.ac.in/handle/123456789/2461 |
|
| dc.identifier.uri |
http://dx.doi.org/10.1016/j.jmaa.2016.08.048 |
|
| dc.description.abstract |
In this article, we establish several applications of Picone's identity for the operator of the form
−div(a(x,u,∇u)), Turn MathJax on such as Hardy type inequality, Sturmian comparison theorem, monotonicity property of the first eigenvalue, nonexistence of positive supersolutions and Caccioppoli inequality under certain conditions on a. |
en_US |
| dc.description.statementofresponsibility |
by Gaurav Dwivedi and Jagmohan Tyagi |
|
| dc.format.extent |
Vol. 446, no. 1, pp. 456-469 |
|
| dc.language.iso |
en_US |
en_US |
| dc.publisher |
Elsevier |
en_US |
| dc.subject |
Picone's identity |
en_US |
| dc.subject |
Hardy inequality |
en_US |
| dc.subject |
Sturmian comparison theorem |
en_US |
| dc.subject |
Monotonicity of the first eigenvalue |
en_US |
| dc.title |
Some qualitative questions on the equation −div(a(x,u,∇u))=f(x, u)” |
en_US |
| dc.type |
Article |
en_US |
| dc.relation.journal |
Journal of Mathematical Analysis and Applications |
|