Qualitative properties and existence of sign changing solutions with compact support for an equation with a p-Laplace operator

Manásevich, Raul; Garcia-Huidobro, Marta; Dolbeault, Jean

Manásevich, Raul; Garcia-Huidobro, Marta; Dolbeault, Jean (2013), Qualitative properties and existence of sign changing solutions with compact support for an equation with a p-Laplace operator, Advanced nonlinear studies, 13, 1, p. 149-178

Type

Article accepté pour publication ou publié

External document link

http://hal.archives-ouvertes.fr/hal-00727573

Date

2013

Journal name

Advanced nonlinear studies

Volume

Number

Pages

149-178

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Author(s)

Manásevich, Raul
Garcia-Huidobro, Marta
Dolbeault, Jean

Abstract (EN)

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.

Subjects / Keywords

Energy methods; Hamiltonian systems; Compact support principle; Shooting method; Nodes; Nodal solutions; p-Laplace operator