solutions with compact support
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2013 ◽  
Vol 13 (1) ◽  
Author(s):  
Jean Dolbeault ◽  
Marta García-Huidobro ◽  
Raul Manasevich

AbstractWe 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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