Morse theory for symmetric functionals on the sphere and an application to a bifurcation problem

DOI10.1016/0362-546X(85)90016-1zbMath0564.58011MaRDI QIDQ3678344

Filomena Pacella, Vieri Benci

Publication date: 1985

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

bifurcationgroup actionssymmetry groupvariational equivariant operator

Mathematics Subject Classification ID

Related Items (9)

Multiplicity results for two kinds of equivariant systems ⋮ Counting symmetry-breaking solutions to symmetric variational problems ⋮ Equivariant category of the free part of a \(G\)-manifold and of the sphere of spherical harmonics ⋮ Symmetries, morse polynomials and applications to bifurcation problems ⋮ Lusternik-Schnirelman method for functionals invariant with respect to a finite group action ⋮ Lyusternik-Schnirelman theory: complementary principles and the Morse index ⋮ Critical orbits of symmetric functionals ⋮ Parameterized splitting theorems and bifurcations for potential operators. I: Abstract theory ⋮ Some remarks on the Lyusternik-Schnirelman method for non-differentiable functionals invariant with respect to a finite group action

Cites Work

• Group theoretic methods in bifurcation theory. With an appendix by P. Olver
• Relative cohomological index theories
• Central configurations of the N-body problem via equivariant Morse theory
• Bifurcation for odd potential operators and an alternative topological index
• Generalized cohomological index theories for Lie group actions with an application to bifurcation questions for Hamiltonian systems
• Die Lösung der Verzweigungsgleichungen für nichtlineare Eigenwertprobleme
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