A Note on the Existence and Uniqueness of Holder Solutions of Nonlinear Singular Integral Equations

Jürgen Appell, Antonio Carbone, Petr Zabrejko
1992 Zeitschrift für Analysis und ihre Anwendungen  
The purpose of this note is to apply a generalized Kantorovich majorization principle to existence and uniqueness results for Hólder solutions of nonlinear singular integral equations. In contrast to the classical Káiitrovith prizicipléwe do not-require differentiability, but-only a-local-Lipschitz condition.
doi:10.4171/zaa/599 fatcat:5tl6bkqptfh4vgb3u3kkmdkpu4