Some remarks on the Hildebrandt-Graves theorem

DOI10.4171/ZAA/664zbMath0823.47061OpenAlexW1981347470MaRDI QIDQ1346954

Alfonso Vignoli, Peter P. Zabreĭko

Publication date: 30 March 1995

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/zaa/664

zbMATH Keywords

nonlinear singular integral equationsderivative of the nonlinear operatorHildebrandt-Graves implicit function theorem

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Implicit function theorems, Jacobians, transformations with several variables (26B10) Derivatives of functions in infinite-dimensional spaces (46G05) Singular nonlinear integral equations (45G05)

Cites Work

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• On implicit function theorems and the existence of solutions of non- linear equations
• On operators in generalized Hölder spaces
• Strong Derivatives and Inverse Mappings

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