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The principle of hamilton-ostrogradskii for systems with one-sided constraints

✍ Scribed by N.E. Stavrakova

Publisher: Elsevier Science
Year: 1965
Tongue: English
Weight: 362 KB
Volume: 29
Category: Article
ISSN: 0021-8928
DOI: 10.1016/0021-8928(65)90097-3

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In this paper we prove the following theorem (for notation and definitions, see the paragraphs below): "Let Ω ⊆ R n be a domain, m ∈ N, and λ, q > 0. Then, there exists r (= r(λ, q)) > 1 such that for every 0 < p < q, whenever u 1 , u 2 ,..., u m are weak solutions of a strongly elliptic system wit