2007 Conference on Variational and Topological Methods: Theory, Applications, Numerical Simulations, and Open Problems. Electron. J. Diff. Eqns., Conference 18 (2010), pp. 1-13.

Prufer transformation for the p-Laplacian

Jiri Benedikt, Petr Girg

Abstract:
Prufer transformation is a useful tool for study of second-order ordinary differential equations. There are many possible extensions of the original Prufer transformation. We focus on a transformation suitable for study of boundary value problems for the p-Laplacian in the resonant case. The purpose of this paper is to establish its basic properties in deep detail.

Published July 10, 2010.
Math Subject Classifications: 34A12, 34A34, 34B15.
Key Words: Prufer transformation; p-Laplacian; jumping nonlinearity.

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Jiri Benedikt
Department of mathematics, Faculty of Applied Sciences
University of West Bohemia, Univerzitni 22
306 14 Plzen, Czech Republic
email: benedikt@kma.zcu.cz
Petr Girg
Department of mathematics, Faculty of Applied Sciences
University of West Bohemia, Univerzitni 22
306 14 Plzen, Czech Republic
email: pgirg@kma.zcu.cz

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