The G-invariant implicit function theorem in infinite dimensions

DOI10.1017/S0308210500019909zbMath0512.58011OpenAlexW4233424473MaRDI QIDQ3657091

E. Norman Dancer

Publication date: 1982

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500019909

zbMATH Keywords

bounded linear operatorscompact Lie group action on Banach spacesexistence and uniqueness of invariant solutions

Mathematics Subject Classification ID

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Cites Work

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• On the structure of solutions of an equation in catalysis theory when a parameter is large
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• Die Lösung der Verzweigungsgleichungen für nichtlineare Eigenwertprobleme
• An implicit function theorem with symmetries and its application to nonlinear eigenvalue equations
• On the existence of bifurcating solutions in the presence of symmetries
• Bifurcation and symmetry breaking in applied mathematics
• Symplectic v‐manifolds, periodic orbits of hamiltonian systems, and the volume of certain riemannian manifolds

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