On the case of equality in the Brunn-Minkowski inequality for capacity

Advances in Mathematics

Volumn 117, Issue 2, 1996, Pages 193-207

  Caffarelli, Luis A ^a,b   Jerison, David ^c   Lieb, Elliott H ^d  

^a INSTITUTE FOR ADVANCED STUDY   (United States)

^b NEW YORK UNIVERSITY   (United States)

^c MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

^d PRINCETON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030577656     PISSN: 00018708     EISSN: None     Source Type: Journal    
DOI: 10.1006/aima.1996.0008     Document Type: Article

References (6)

1. [BF] T. BONNESEN AND W. FENCHEL, "Theory of Convex Bodies," BCS Associates, Moscow, ID, 1987, Translation from German.
2. [B] C. BORELL, Capacitary inequalities of the Brunn-Minkowski type, Math. Ann. 263 (1983), 179-184.
3. [CY] S.-Y. CHENG AND S.-T. YAU, On the regularity of the solution of the n-dimensional Minkowski problem, Comm. Pure Appl. Math. 29 (1976), 495-516.
4. [D] B. E. J. DAHLBERG, Estimates for harmonic measure, Arch. Rational Mech. Anal. 65 (1977), 275-283.
5. [J1] D. JERISON, Prescribing harmonic measure on convex domains, Invent. Math. 105 (1991), 375-400.
6. [J2] D. JERISON, A Minkowski problem for electrostatic capacity, Acta Math., to appear.