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The scalar curvature problem on the four dimensional half sphere

Published:2004-04 Issue:4 Volume:22 Page:465-482
ISSN:0944-2669
Container-title:Calculus of Variations and Partial Differential Equations
language:en
Short-container-title:Calc. Var.

Author:

Ben Ayed M.,El Mehdi K.,Ould Ahmedou M.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Analysis

Link

http://link.springer.com/content/pdf/10.1007/s00526-004-0285-6.pdf

Reference34 articles.

1. Ambrosetti, A., Garcia Azorero, J., Peral, A.: Perturbation of $\Delta u + u^{\frac{(N+2)}{(N-2)}} = 0$ , the Scalar Curvature Problem in $\mathbb{R}^N$ and related topics. Journal of Functional Analysis 165, 117-149 (1999)

2. Ambrosetti, A., Li, Y.Y., Malchiodi, A.: On the Yamabe problem and the scalar curvature problems under boundary conditions. Math. Ann. 322, 667-699 (2002)

3. Aubin, T.: Some nonlinear problems in differential geometry. Springer: Berlin Heidelberg New York 1997.

4. Aubin, T.: Meilleures constantes dans le théoréme d? inclusion de Sobolev et un théoréme de Fredholm non linéaire pour la transformation conforme de la courbure scalaire. Journal of Functional Analysis 32, 148-174 (1979)

5. Aubin, T., Bahri A.: Méthodes de topologie algébrique pour le probléme de la courbure scalaire prescrite. Journal des Mathématiques Pures et Appliquées 76, 525-549 (1997)

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