Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4613827 | Journal of Mathematical Analysis and Applications | 2017 | 14 Pages |
Abstract
In this article, we establish several applications of Picone's identity for the operator of the form−div(a(x,u,∇u)),−div(a(x,u,∇u)), 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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Gaurav Dwivedi, Jagmohan Tyagi,