This paper is concerned with a generalization of the Hildebrandt-Graves implicit function theorem building on a weaker acting condition for the derivative of the nonlinear operator involved. The abstract theorem is illustrated by means of an application to nonlinear singular integral equations where classical implicit function theorems do not apply.
Cite this article
A. Vignoli, Petr P. Zabrejko, Some Remarks on the Hildebrandt-Graves Theorem. Z. Anal. Anwend. 14 (1995), no. 1, pp. 89–93DOI 10.4171/ZAA/664