Brouwer degree, equivariant maps and tensor powers.
Balanov, Z., Krawcewicz, W., Kushkuley, A. (1998)
Abstract and Applied Analysis
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Balanov, Z., Krawcewicz, W., Kushkuley, A. (1998)
Abstract and Applied Analysis
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Zdzisław Dzedzej (2012)
Open Mathematics
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An equivariant degree is defined for equivariant completely continuous multivalued vector fields with compact convex values. Then it is applied to obtain a result on existence of solutions to a second order BVP for differential inclusions carrying some symmetries.
Antonyan, Sergey A., Balanov, Zalman I., Gel'man, Boris D. (2006)
Abstract and Applied Analysis
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Marcin Styborski (2012)
Open Mathematics
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The paper is concerned with the Morse equation for flows in a representation of a compact Lie group. As a consequence of this equation we give a relationship between the equivariant Conley index of an isolated invariant set of the flow given by .x = −∇f(x) and the gradient equivariant degree of ∇f. Some multiplicity results are also presented.
Dariusz Wilczyński (1984)
Fundamenta Mathematicae
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Yoshimi Shitanda, Oda Nobuyuki (1989)
Manuscripta mathematica
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Thomas Bartsch (1993)
Mathematische Zeitschrift
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Živaljević, Rade T. (1998)
Publications de l'Institut Mathématique. Nouvelle Série
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Antonio Vidal (1988)
Publicacions Matemàtiques
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We work in the smooth category: manifolds and maps are meant to be smooth. Let G be a finite group acting on a connected closed manifold X and f an equivariant self-map on X with f|A fixpointfree, where A is a closed invariant submanifold of X with codim A ≥ 3. The purpose of this paper is to give a proof using obstruction theory of the following fact: If X is simply connected and the action of G on X - A is free, then f is equivariantly deformable rel. A to fixed...
C. Bowszyc (1983)
Fundamenta Mathematicae
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