Bifurcation of the solutions of holomorphic Fredholm equations and complex analytic graph theorems

DOI10.1016/0362-546X(82)90051-7zbMath0487.58006MaRDI QIDQ3948335

Volker Aurich

Publication date: 1982

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

zbMATH Keywords

analytically ramified coveringbifurcation of the solutions of holomorphic Fredholm equationsinfinite- dimensional complex analysisRemmert's graph theorem and the Clements-Osgood theorem for Banach spaces

Mathematics Subject Classification ID

(Semi-) Fredholm operators; index theories (47A53) Boundary value problems on manifolds (58J32) Low-dimensional topology of special (e.g., branched) coverings (57M12) Holomorphic maps on manifolds (58C10) Analytic subsets of affine space (32B15) Questions of holomorphy and infinite-dimensional manifolds (58B12) Variational problems in abstract bifurcation theory in infinite-dimensional spaces (58E07)

Related Items

On biholomorphy in infinite dimensions, Bounded analytic sets in Banach spaces

Cites Work

• Holomorphe und meromorphe Abbildungen komplexer Räume
• Puiseux expansion for space curves
• Complex analytic geometry
• Le problème des modules pour les sous-espaces analytiques compacts d'un espace analytique donné
• A propos des cycles analytiques de dimension infinie
• Branching of solutions of nonlinear equations
• Analytic functional mappings
• Über die wesentlichen Singularitäten analytischer Mengen
• Bifurcation theory for Fredholm operators
• NON-LINEAR FREDHOLM MAPS AND THE LERAY-SCHAUDER THEORY
• Compact analytic mappings of B‐spaces and a theorem of Jane Cronin
• An Infinite Dimensional Version of Sard's Theorem
• NONLINEAR MONOTONE AND ACCRETIVE OPERATORS IN BANACH SPACES
• Counterexample to the Morse-Sard Theorem in the Case of Infinite-Dimensional Manifolds
• Analytic Sets as Branched Coverings
• Bifurcation Theory for Analytic Operators
• Some Theorems on Fredholm Maps
• THE METHODS OF LYAPUNOV AND SCHMIDT IN THE THEORY OF NON-LINEAR EQUATIONS AND THEIR FURTHER DEVELOPMENT
• Remarks on Singular Points of Functional Equations
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item