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Gårding’s inequality for elliptic operators with degeneracy

✍ Scribed by S. A. Iskhokov


Book ID
110149679
Publisher
SP MAIK Nauka/Interperiodica
Year
2010
Tongue
English
Weight
642 KB
Volume
87
Category
Article
ISSN
0001-4346

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Let M n be a compact hypersurface of a real space form and L r the linearized operator of the first variation of the (r + 1)th mean curvature, r ∈ {0, . . . , n}. In this paper, we obtain an optimal upper bound for the first eigenvalue of those operators L r , in terms of the r th mean curvatures of