Electron. J. Diff. Equ., Vol. 2011 (2011), No. 122, pp. 1-6.

Picone's identity for the p-biharmonic operator with applications

Jaroslav Jaros

Abstract:
In this article, a Picone-type identity for the weighted p-biharmonic operator is established and comparison results for a class of half-linear partial differential equations of fourth order based on this identity are derived.

Submitted July 17, 2011. Published September 27, 2011.
Math Subject Classifications: 35B05, 35J70.
Key Words: p-biharmonic operator; Picone's identity.

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Jaroslav Jaros
Department of Mathematical Analysis and Numerical Mathematics
Faculty of Mathematics, Physics and Informatics
Comenius University
842 48 Bratislava, Slovakia
email: jaros@fmph.uniba.sk

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