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 / G. Albanese ; relatore: M. Rigoli ; coordinatore: L. Van Geemen. DIPARTIMENTO DI MATEMATICA "FEDERIGO ENRIQUES", 2015 Dec 09. 28. ciclo, Anno Accademico 2015. [10.13130/g-albanese_phd2015-12-09].
SEMILINEAR ELLIPTIC EQUATIONS ON COMPLETE MANIFOLDS WITH BOUNDARY WITH SOME APPLICATIONS TO GEOMETRY AND GENERAL RELATIVITY
G. Albanese
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 | Dimensione | Formato | |
|---|---|---|---|
|
phd_unimi_R09932.pdf
Open Access dal 27/05/2016
Tipologia:
Tesi di dottorato completa
Dimensione
731.06 kB
Formato
Adobe PDF
|
731.06 kB | Adobe PDF | Visualizza/Apri |
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
