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http://dspace.bits-pilani.ac.in:8080/jspui/handle/123456789/11408| Title: | Some qualitative questions on the equation −div(a(x,u,∇u))=f(x, u) |
| Authors: | Dwivedi, Gaurav |
| Keywords: | Mathematics Picone's identity Sturmian comparison theorem Monotonicity of the first eigenvalue Hardy inequality |
| Issue Date: | Feb-2017 |
| Publisher: | Elsevier |
| Abstract: | In this article, we establish several applications of Picone's identity for the operator of the form 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. |
| URI: | https://www.sciencedirect.com/science/article/pii/S0022247X16304802 http://dspace.bits-pilani.ac.in:8080/xmlui/handle/123456789/11408 |
| Appears in Collections: | Department of Mathematics |
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