Qualitative Properties and Existence of Sign Changing Solutions with Compact Support for an Equation with a p-Laplace Operator-Reference-Cited by-同舟云学术

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

Published:2013-02-01 Issue:1 Volume:13 Page:149-178
ISSN:2169-0375
Container-title:Advanced Nonlinear Studies
language:en
Short-container-title:

Author:

Dolbeault Jean¹,García-Huidobro Marta²,Manasevich Raul³

Affiliation:

1. Ceremade (UMR CNRS no. 7534), Université Paris-Dauphine Place de Lattre de Tassigny, 75775 Paris Cédex 16, France

2. Departamento de Matemáticas Pontificia Universidad Católica de Chile, Casilla 306, Correo 22, Santiago de Chile

3. DIM & CMM (UMR CNRS no. 2071), FCFM Universidad de Chile, Casilla 170 Correo 3, Santiago, Chile

Abstract

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.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics,Statistical and Nonlinear Physics

Link

https://www.degruyter.com/document/doi/10.1515/ans-2013-0109/pdf

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