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.
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