Isoperimetric problems on the sphere and on surfaces with density.
Engelstein, Max, Marcuccio, Anthony, Maurmann, Quinn, Pritchard, Taryn (2009)
The New York Journal of Mathematics [electronic only]
Similarity:
Engelstein, Max, Marcuccio, Anthony, Maurmann, Quinn, Pritchard, Taryn (2009)
The New York Journal of Mathematics [electronic only]
Similarity:
Rolf Schneider (1972)
Annales Polonici Mathematici
Similarity:
Hass, Joel, Hutchings, Michael, Schlafly, Roger (1995)
Electronic Research Announcements of the American Mathematical Society [electronic only]
Similarity:
N. S. Hoang, A. G. Ramm (2009)
Annales Polonici Mathematici
Similarity:
Some symmetry problems are formulated and solved. New simple proofs are given for some symmetry problems studied earlier. One of the results is as follows: if a single-layer potential of a surface, homeomorphic to a sphere, with a constant charge density, is equal to c/|x| for all sufficiently large |x|, where c > 0 is a constant, then the surface is a sphere.
Carrión Álvarez, Miguel, Corneli, Joseph, Walsh, Genevieve (2003)
Experimental Mathematics
Similarity:
Vrecica, Sinisa (1981)
Publications de l'Institut Mathématique. Nouvelle Série
Similarity:
Elliott H. Lieb (1973)
Recherche Coopérative sur Programme n°25
Similarity:
Fok-Shuen Leung (2009)
Acta Arithmetica
Similarity:
Martini, Horst, Mustafaev, Zokhrab (2010)
Journal of Inequalities and Applications [electronic only]
Similarity:
Gutierrez, Carlos, Mercuri, Francesco, Sánchez-Bringas, Federico (1996)
Experimental Mathematics
Similarity:
Farran, H.R., Pinto, Maria do Rosario, Robertson, S.A. (1999)
Beiträge zur Algebra und Geometrie
Similarity:
Mustafaev, Zokhrab (2006)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
Similarity:
Wyatt Boyer, Bryan Brown, Gregory R. Chambers, Alyssa Loving, Sarah Tammen (2016)
Analysis and Geometry in Metric Spaces
Similarity:
We show that the unique isoperimetric regions in Rn with density rp for n ≥ 3 and p > 0 are balls with boundary through the origin.
Carlos Gutiérrez, Federico Sánchez Bringas (1997)
Publicacions Matemàtiques
Similarity:
Let r = 3, 4, ... , ∞, ω. The Cr-Carathéodory's Conjecture states that every Cr convex embedding of a 2-sphere into R3 must have at least two umbilics. The Cr-Loewner's conjecture (stronger than the one of Carathéodory) states that there are no umbilics of index bigger than one. We show that these two conjectures are equivalent to others about planar vector fields. For instance, if r ≠ ω, Cr...
Cox, S.J., Flikkema, E. (2010)
The Electronic Journal of Combinatorics [electronic only]
Similarity:
Mustafaev, Zokhrab (2004)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
Similarity: