Kaushik Bal
Abstract:
In this article we give a generalized version of Picone's identity
in a nonlinear setting for the p-Laplace operator. As applications
we give a Sturmian Comparison principle and a Liouville type theorem.
We also study a related singular elliptic system.
Submitted July 24, 2013. Published November 8, 2013.
Math Subject Classifications: 35J20, 35J65, 35J70.
Key Words: Quasilinear elliptic equation; Picone's identity; comparison theorem.
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Kaushik Bal School of Mathematical Sciences National Institute for Science Education and Research Institute of Physics Campus Bhubaneshwar-751005, Odisha, India email: kausbal@gmail.com |
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