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The Hadamard variational formula and the Minkowski problem for p-capacity

Article ID Journal Published Year Pages File Type
6425460 Advances in Mathematics 2015 78 Pages PDF
Abstract
A Hadamard variational formula for p-capacity of convex bodies in Rn is established when 1
Keywords
52A2031B1535J60p-LaplacianVariational formulaMinkowski problemMinkowski inequalityConvex domainMonge–Ampère equationUniquenessRegularityExistence
Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)
Preview
The Hadamard variational formula and the Minkowski problem for p-capacity
Authors
A. Colesanti, K. Nyström, P. Salani, J. Xiao, D. Yang, G. Zhang,
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Journal
Advances in Mathematics
Journal: Advances in Mathematics
Related Categories
52A20
31B15
35J60
p-Laplacian
Variational formula
Minkowski problem
Minkowski inequality
Convex domain
Monge–Ampère equation
Uniqueness
Regularity
Existence
Algebra and Number Theory
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Applied Mathematics
Computational Mathematics
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