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Remarks on the direct method of the calculus of variations

โœ Scribed by Felix E. Browder


Publisher
Springer
Year
1965
Tongue
English
Weight
325 KB
Volume
20
Category
Article
ISSN
0003-9527

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๐Ÿ“œ SIMILAR VOLUMES


The Direct Method in the Calculus of Var
โœ David Jerison ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 435 KB

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