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. 
Jean Dolbeault (CEREMADE), Marta Garcia-Huidobro, Raul Man\'asevich   (CMM, DIM)
math.AP