Symmetries, degree, homotopy indices and asymptotically homogeneous problems

DOI10.1016/0362-546X(82)90037-2zbMath0494.47037OpenAlexW2120621735MaRDI QIDQ3957512

E. Norman Dancer

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1016/0362-546x(82)90037-2

zbMATH Keywords

degreeboundary-value problemshomotopy indexasymptotically homogeneous problemslinear action of a compact Lie grouppositive homogeneous gradient mapping

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Nonlinear boundary value problems for ordinary differential equations (34B15) Boundary value problems for higher-order elliptic equations (35J40) Fixed-point and coincidence theorems (topological aspects) (54H25) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05)

Related Items (13)

A comparison principle and extension of equivariant maps ⋮ Symmetries, topological degree and a theorem of Z. Q. Wang ⋮ Topological degree and the theorem of Borsuk for general covariant mappings with applications ⋮ Bifurcations of nonconstant solutions of the Ginzburg-Landau equation ⋮ A short treatise on the equivariant degree theory and its applications ⋮ Periodic solutions of asymptotically linear autonomous Newtonian systems with resonance ⋮ Global bifurcations of critical orbits of \(G\)-invariant strongly indefinite functionals ⋮ Periodic solutions of autonomous Newtonian systems partially asymptotically linear at infinity ⋮ Breaking of symmetries for forced equations ⋮ Continuation Theorems for Periodic Perturbations of Autonomous Systems ⋮ On algebraic problems behind the Brouwer degree of equivariant maps ⋮ Counterexamples to some conjectures on the number of solutions of nonlinear equations ⋮ Unbounded sets of solutions of non-cooperative elliptic systems on spheres

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