The logarithmic HLS inequality for systems on compact manifolds

Journal of Functional Analysis

Volumn 227, Issue 1, 2005, Pages 200-226

  Shafrir, Itai ^a   Wolansky, Gershon ^a  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

Hardy Littlewood Sobolev inequality; Logarithmic potential; Optimal constants

Indexed keywords

EID: 24344471712     PISSN: 00221236     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jfa.2004.09.007     Document Type: Article

References (10)

1. W. Beckner Sharp Sobolev inequalities on the sphere and the Moser-Trudinger inequality Ann. Math. 128 1993 213-242
2. n Geom. Funct. Anal. 1 1992 90-104
3. S. Chanillo M.K.-H. Kiessling Conformally invariant systems of nonlinear pde of Liouville type Geom. Funct. Anal. 5 1995 924-947
4. M. Chipot, I. Shafrir, G. Wolansky, On the solutions of Liouville systems, J. Differential Equations 140 (1997) 59-105; Erratum loc. cit. 178 (2002) 630.
5. J. Jost G. Wang Analytic aspects of the Toda system. I. A, Moser-Trudinger inequality Commun. Pure Appl. Math. 54 2001 1289-1319
6. C. Papadimitriou K. Steiglitz Combinatorial Optimization: Algorithms and Complexity 1982 Prentice-Hall Englewood Cliffs, NJ
7. I. Shafrir G. Wolansky Moser-Trudinger type inequalities for systems in two dimensions C. R. Acad. Sci. Paris Sér. I Math. 333 2001 439-443
8. I. Shafrir, G. Wolansky, Moser-Trudinger and logarithmic HLS inequalities for systems, preprint.
9. E.M. Stein Singular Integrals and Differentiability Properties of Functions 1970 Princeton University Press Princeton, NJ
10. G. Wang Moser-Trudinger inequalities and Liouville systems C. R. Acad. Sci. Paris Sér. I Math. 328 1999 895-900