Prescribing the Scalar Curvature under Minimal Boundary Conditions on the Half Sphere

Prescribing the Scalar Curvature under Minimal Boundary Conditions on the Half Sphere

This paper is devoted to the problem of prescribing the scalar curvature under zero boundary conditions. Using dynamical and topological methods involving the study of critical points at infinity of the associated variational problem, we prove some existence results on the standard half sphere.

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Veröffentlicht in:Advanced nonlinear studies 2002-05, Vol.2 (2), p.93-116
Hauptverfasser: Ayed, Mohamed Ben, Mehdi, Khalil El, Ahmedou, Mohameden Ould
Format: Artikel
Sprache:eng
Schlagworte:
Conformal invariance
Critical points at infinity
Lack of compactness
Scalar curvature
Variational problems
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Beschreibung
Zusammenfassung:This paper is devoted to the problem of prescribing the scalar curvature under zero boundary conditions. Using dynamical and topological methods involving the study of critical points at infinity of the associated variational problem, we prove some existence results on the standard half sphere.
ISSN:1536-1365
2169-0375
DOI:10.1515/ans-2002-0201