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Qualitative properties for solutions of singular elliptic inequalities on complete manifolds |
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| Authors: | Patrizia Pucci |
| Affiliation: | a Dipartimento di Matematica e Informatica, Università degli Studi di Perugia, Via Vanvitelli 1, 06123 Perugia, Italy b Dipartimento di Matematica, Università degli Studi di Milano, Via Saldini 50, 29100 Milano, Italy c Department of Mathematics, University of Minnesota, Minneapolis, MN 55455, USA |
| 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. |
| Keywords: | primary, 35J15 secondary, 35J70 |
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