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Article Dans Une Revue Avanced Nonlinear Studies Année : 2013

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

Résumé

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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hal-00727573 , version 1 (03-09-2012)

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Jean Dolbeault, Marta Garcia-Huidobro, Raul Manásevich. Qualitative properties and existence of sign changing solutions with compact support for an equation with a p-Laplace operator. Avanced Nonlinear Studies, 2013. ⟨hal-00727573⟩
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