Open AccessExistence and Multiplicity Results for the Scalar Curvature Problem on the Half-Spheređť•Š + 3
Author(s) -
Ridha Yacoub
Publication year - 2014
Publication title -
geometry
Language(s) - English
Resource type - Journals
eISSN - 2314-4238
pISSN - 2314-422X
DOI - 10.1155/2014/582367
Subject(s) - infinity , curvature , multiplicity (mathematics) , morse code , scalar curvature , scalar (mathematics) , mathematics , mathematical analysis , computer science , geometry , telecommunications
In this paper we deal with the scalar curvature problem under minimal boundary mean curvature conditionon the standard 3-dimensional half-sphere. Using tools related to the theory of critical points at infinity, we give existenceresults under perturbative and nonperturbative hypothesis, and with the help of some “Morse inequalities at infinity”, we provide multiplicity results for our problem
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