A p Borsuk-Ulam theorem and index theory with a multiplicity result in partial differential equations

DOI10.1016/0362-546X(89)90023-0zbMath0688.58040OpenAlexW2085337955MaRDI QIDQ4207416

Ray Michalek

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0362-546x(89)90023-0

zbMATH Keywords

multiple solutionsBorsuk-Ulam theoremnonlinear elliptic partial differential equationsindex theory\({\mathbb{Z}}^ p\)-action\({\mathbb{Z}}^ p\)-indexT- equivarianceT-invariance

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Nonlinear elliptic equations (35J60) Index theory and related fixed-point theorems on manifolds (58J20)

Related Items (4)

Infinitely many solutions of a symmetric Dirichlet problem ⋮ An index theory and existence of multiple brake orbits for star-shaped Hamiltonian systems ⋮ Unnamed Item ⋮ Multiple periodic solutions with minimal period for second order discrete system

Cites Work

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• Subharmonic solutions with prescribed minimal period for nonautonomous Hamiltonian systems
• Multiple Critical Points of Perturbed Symmetric Functionals
• A geometrical index for the groupS1 and some applications to the study of periodic solutions of ordinary differential equations
• Some Generalizations of the Borsuk-Ulam Theorem
• Borsuk-Ulam Theorems for Arbitrary S 1 Actions and Applications

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