Electron. J. Diff. Equ., Vol. 2010(2010), No. 111, pp. 1-13.

Generalized Picone and Riccati inequalities for half-linear differential operators with arbitrary elliptic matrices

Simona Fisnarova, Robert Marik

Abstract:
In the article, we extend the well-known Picone identity for half-linear partial differential equations to equations with anisotropic p-Laplacian.

Submitted June 29, 2010. Published August 10, 2010.
Math Subject Classifications: 35J92, 35B05.
Key Words: Half-linear differential equation; second order equation; Picone identity; conjugacy; oscillation.

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Simona Fisnarova
Department of Mathematics, Mendel University
Zemedelska 1, 613 00 Brno, Czech Republic
email: fisnarov@mendelu.cz
Robert Marik
Department of Mathematics, Mendel University
Zemedelska 1, 613 00 Brno, Czech Republic
email: marik@mendelu.cz

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