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

Abstract

We consider radial solutions of an elliptic equation involving the pLaplace 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… (More)

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