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Direct methods in the calculus of variations for differential forms

โœ Scribed by Tingting Wang,Gejun Bao,Guanfeng Li

Book ID
121618798
Publisher
Hindawi Publishing Corporation
Year
2013
Tongue
English
Weight
238 KB
Volume
2013
Category
Article
ISSN
1025-5834

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โœ Giusti, Enrico ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› WORLD SCIENTIFIC ๐ŸŒ English โš– 964 KB

This book provides a comprehensive discussion on the existence and regularity of minima of regular integrals in the calculus of variations and of solutions to elliptic partial differential equations and systems of the second order. While direct methods for the existence of solutions are well known a

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The purpose of this paper is to calculate the first variation of capacity and of the lowest eigenvalue for the Dirichlet problem in convex domains in R N . These formulas are well known in the smooth case and are due to Poincare and Hadamard, respectively. The point is to prove them in sufficient ge