The aim of this work is to study the properties of positive smooth solutions of nonlinear equations on a noncompact Riemannian manifold with (possibly empty or noncompact) smooth boundary, and nonlinear boundary conditions of mixed type (Dirichlet-Neumann). In particular we concentrate on two models meaningful for the applications in Geometry and General Relativity, respectively the Yamabe-type equations and the Lichnerowicz-type equations.
SEMILINEAR ELLIPTIC EQUATIONS ON COMPLETE MANIFOLDS WITH BOUNDARY WITH SOME APPLICATIONS TO GEOMETRY AND GENERAL RELATIVITY
ALBANESE, GUGLIELMO
2015
Abstract
The aim of this work is to study the properties of positive smooth solutions of nonlinear equations on a noncompact Riemannian manifold with (possibly empty or noncompact) smooth boundary, and nonlinear boundary conditions of mixed type (Dirichlet-Neumann). In particular we concentrate on two models meaningful for the applications in Geometry and General Relativity, respectively the Yamabe-type equations and the Lichnerowicz-type equations.File in questo prodotto:
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Utilizza questo identificativo per citare o creare un link a questo documento:
https://hdl.handle.net/20.500.14242/74988
Il codice NBN di questa tesi è
URN:NBN:IT:UNIMI-74988