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Please use this identifier to cite or link to this item: http://dspace.bits-pilani.ac.in:8080/jspui/handle/123456789/11406
Title: Picone's Identity for p-biharmonic operator and Its Applications
Authors: Dwivedi, Gaurav
Keywords: Mathematics
p-biharmonic
Issue Date: Mar-2015
Publisher: ARXIV
Abstract: In this article we prove the nonlinear analogue of Picone's identity for p−biharmonic operator. As an application of our result we show that the Morse index of the zero solution to a p−biharmonic boundary value problem is 0. We also prove a Hardy type inequality and Sturmian comparison principle. We also show the strict monotonicity of the principle eigenvalue and linear relationship between the solutions of a system of singular p-biharmonic system.
URI: https://arxiv.org/abs/1503.05535
http://dspace.bits-pilani.ac.in:8080/xmlui/handle/123456789/11406
Appears in Collections:Department of Mathematics

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