Symmetries, topological degree and a theorem of Z. Q. Wang

DOI10.1216/rmjm/1181072390zbMath0819.47076OpenAlexW2045709421MaRDI QIDQ1344009

Patrick J. Rabier

Publication date: 17 August 1995

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181072390

zbMATH Keywords

Euler-Poincaré characteristicsLeray-Schauder degreefixed point spacecompact \(G\)-covariant perturbation of the identity

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Degree theory for nonlinear operators (47H11) Degree, winding number (55M25) Fixed-point theorems on manifolds (58C30) Group actions and symmetry properties (58D19)

Related Items (7)

Periodic solutions of asymptotically linear autonomous Newtonian systems with resonance ⋮ Periodic solutions of autonomous Newtonian systems partially asymptotically linear at infinity ⋮ Periodic solutions of second order Hamiltonian systems bifurcating from infinity ⋮ Equivariant hopf theorem ⋮ Existence and continuation of solutions for a nonlinear Neumann problem ⋮ Equivariant bifurcation index ⋮ Existence and continuation of periodic solutions of autonomous Newtonian systems

Cites Work

• New aspects in bifurcation with symmetry
• Symmetries and the calculations of degree
• On the nonlinear elliptic equations with symmetry
• Intrinsic isotropy subgroups of finite groups
• The degree of proper \(C^ 2\) Fredholm mappings: Covariant theory
• Topological degree and the theorem of Borsuk for general covariant mappings with applications
• Symmetries, degree, homotopy indices and asymptotically homogeneous problems
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