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This article is cited in 6 scientific papers (total in 6 papers)
Infinite-dimensional version of the Poincare–Hopf theorem and homological characteristics of functionals
V. S. Klimov P. G. Demidov Yaroslavl State University
Abstract:
A version of the Poincare–Hopf theorem is established for multivalued vector fields on submanifolds of a reflexive space. The connection between the critical values and homological characteristics of the Lebesgue sets of Lipschitz functionals is studied. Applications to the theory of operator inclusions with parameters are indicated.
Received: 08.12.1999
Citation:
V. S. Klimov, “Infinite-dimensional version of the Poincare–Hopf theorem and homological characteristics of functionals”, Sb. Math., 192:1 (2001), 49–64
Linking options:
https://www.mathnet.ru/eng/sm535https://doi.org/10.1070/sm2001v192n01ABEH000535 https://www.mathnet.ru/eng/sm/v192/i1/p51
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Abstract page: | 490 | Russian version PDF: | 232 | English version PDF: | 15 | References: | 69 | First page: | 1 |
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