Mountain pass theorem with infinite discrete symmetry

zbMath1375.58012MaRDI QIDQ294159

Noé Bárcenas

Publication date: 9 June 2016

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ojm/1461781791

zbMATH Keywords

mountain pass theoremequivariant critical point theoryLusternik-Schnirelmann categorySegal conjecture

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Equivariant homotopy theory in algebraic topology (55P91) Group-invariant bifurcation theory in infinite-dimensional spaces (58E09) Variational aspects of group actions in infinite-dimensional spaces (58E40)

Related Items

Sign-changing solutions to a partially periodic nonlinear Schrödinger equation in domains with unbounded boundary

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the existence of slices for actions of non-compact Lie groups
• Lusternik-Schnirelman method for functionals invariant with respect to a finite group action
• Linearization of proper group actions
• The Segal conjecture for compact Lie groups
• Transformation groups
• A generalization of the Segal conjecture
• On the existence of Borsuk-Ulam theorems
• Spaces over a category and assembly maps in isomorphism conjectures in \(K\)- and \(L\)-theory
• Topological methods for variational problems with symmetries
• The equivariant category of proper \(G\)-spaces.
• Hamiltonian systems near relative equilibria
• A G-Lusternik-Schnirelmann category of space with an action of a compact Lie group
• Equivariant CW complexes and shape theory
• Computations of \(K\)- and \(L\)-theory of cocompact planar groups
• Dual variational methods in critical point theory and applications
• Nonlinearity, proper actions and equivariant stable cohomotopy
• The Burnside ring and equivariant stable cohomotopy for infinite groups
• A characterisation of solvable groups
• EQUIVARIANT COHOMOLOGICAL CHERN CHARACTERS
• The equivariant homotopy type of G-ANR's for proper actions of locally compact groups
• On the Burnside ring and stable cohomotopy of a finite group.
• Finite groups with smooth one fixed point actions on spheres
• Invariants of the Lusternik-Schnirelmann Type and the Topology of Critical Sets
• The completion theorem in \(K\)-theory for proper actions of a discrete group