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Publicly Available Published by De Gruyter March 10, 2016

Qualitative Properties and Existence of Sign Changing Solutions with Compact Support for an Equation with a p-Laplace Operator

Jean Dolbeault, Marta García-Huidobro and Raul Manasevich

Abstract

We consider radial solutions of an elliptic equation involving the p-Laplace operator and prove by a shooting method the existence of compactly supported solutions with any prescribed number of nodes. The method is based on a change of variables in the phase plane corresponding to an asymptotic Hamiltonian system and provides qualitative properties of the solutions.

Published Online: 2016-03-10
Published in Print: 2013-02-01

© 2016 by Advanced Nonlinear Studies, Inc.

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