We establish several qualitative properties for solutions of singular quasilinear elliptic differential inequalities on complete Riemannian manifolds, such as the validity of the compact support principle, of the strong maximum principle, existence of solutions to exterior Dirichlet problems, existence of dead core solutions. Several technical problems arise in this general framework and require a careful treatment.
Qualitative properties for solutions of singular elliptic inequalities on complete manifolds
PUCCI, Patrizia;
2007
Abstract
We establish several qualitative properties for solutions of singular quasilinear elliptic differential inequalities on complete Riemannian manifolds, such as the validity of the compact support principle, of the strong maximum principle, existence of solutions to exterior Dirichlet problems, existence of dead core solutions. Several technical problems arise in this general framework and require a careful treatment.File in questo prodotto:
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