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

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.

preprint2012arXivOpen access
Jean DolbeaultMarta Garcia-HuidobroRaul Manásevich
math.AP
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Open access3 authors1 topic
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Jean DolbeaultMarta Garcia-HuidobroRaul Manásevich

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