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

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Date
2013
Link to item file
http://hal.archives-ouvertes.fr/hal-00727573
Dewey
Analyse
Sujet
Energy methods; Hamiltonian systems; Compact support principle; Shooting method; Nodes; Nodal solutions; p-Laplace operator
Journal issue
Advanced nonlinear studies
Volume
13
Number
1
Publication date
2013
Article pages
149-178
URI
https://basepub.dauphine.fr/handle/123456789/9907
Collections
  • CEREMADE : Publications
Metadata
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Author
Manásevich, Raul
Garcia-Huidobro, Marta
Dolbeault, Jean
Type
Article accepté pour publication ou publié
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.

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