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.
Qualitative properties for solutions of singular elliptic inequalities on complete manifolds / Patrizia Pucci, Marco Rigoli, James Serrin. - In: JOURNAL OF DIFFERENTIAL EQUATIONS. - ISSN 0022-0396. - 234:2(2007), pp. 507-543. [10.1016/j.jde.2006.11.013]
Qualitative properties for solutions of singular elliptic inequalities on complete manifolds
M. Rigoli;
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.
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