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On a lemma in the direct method of the calculus of variations

โœ Scribed by L. Cesari; L. H. Turner


Book ID
112910670
Publisher
Springer Milan
Year
1957
Tongue
Italian
Weight
188 KB
Volume
6
Category
Article
ISSN
0009-725X

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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