Lusternik-Schnirelman method for functionals invariant with respect to a finite group action

DOI10.1016/0022-0396(90)90091-3zbMath0703.58012OpenAlexW2055261308MaRDI QIDQ916170

Wacław Marzantowicz, Wiesław Krawcewicz

Publication date: 1990

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(90)90091-3

zbMATH Keywords

critical point theoryfinite groups of transformationsLusternik- Schnirelman category

Mathematics Subject Classification ID

Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects) (55M30) Variational methods applied to PDEs (35A15) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Finite groups of transformations in algebraic topology (including Smith theory) (55M35)

Related Items (5)

Mountain pass theorem with infinite discrete symmetry ⋮ Equivariant critical point theory and set-valued genera ⋮ Equivariant category of the free part of a \(G\)-manifold and of the sphere of spherical harmonics ⋮ Transverse LS category for Riemannian foliations ⋮ Some remarks on the Lyusternik-Schnirelman method for non-differentiable functionals invariant with respect to a finite group action

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