Topological index of extremals of multidimensional variational problems

DOI10.1007/BF01077262zbMath0618.58018OpenAlexW2002909064MaRDI QIDQ1822391

N. A. Bobylev

Publication date: 1986

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01077262

zbMATH Keywords

variational problemtopological indexEuler-Poincaré characteristic

Mathematics Subject Classification ID

Variational principles in infinite-dimensional spaces (58E30)

Related Items (7)

NONLOCAL EXTENDED CONFORMAL ALGEBRAS ASSOCIATED WITH MULTICONSTRAINT KP HIERARCHY AND THEIR FREE FIELD REALIZATIONS ⋮ Korteweg-de Vries superequation related to the Lie superalgebra of Neveu-Schwarz-2 string theory ⋮ Nonsymmetric vortices for the Ginzberg–Landau equations on the bounded domain ⋮ Quantization of the Gel'fand-Dikiĭ brackets ⋮ The equiconvergence problem for a one-dimensional Schrödinger operator with a uniformly locally integrable potential ⋮ Lie algebras of differential operators, their central extensions, and W- algebras ⋮ Symplectic leaves of the Gel'fand-Dikij brackets and homotopy classes of nondegenerate curves

Cites Work

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• A note on topological degree for potential operators
• Pseudo-monotone operators and the direct method of the calculus of variations
• Nonlinear elliptic boundary value problems and the generalized topological degree

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