Existence and Multiplicity Results for the Scalar Curvature Problem on the Half-Sphere𝕊+3

Autor:	Ridha Yacoub
Rok vydání:	2014
Předmět:	Mean curvature Multiplicity results Prescribed scalar curvature problem media_common.quotation_subject Mathematical analysis Boundary (topology) Infinity Curvature Scalar curvature media_common Mathematics
Zdroj:	Geometry. 2014:1-9
ISSN:	2314-4238 2314-422X
DOI:	10.1155/2014/582367
Popis:	In this paper we deal with the scalar curvature problem under minimal boundary mean curvature condition on the standard 3-dimensional half-sphere. Using tools related to the theory of critical points at infinity, we give existence results under perturbative and nonperturbative hypothesis, and with the help of some “Morse inequalities at infinity”, we provide multiplicity results for our problem.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::0fb03f068f05fdf419ca4137ef696328 https://doi.org/10.1155/2014/582367 Zobrazit plný text záznamu Plný text