Geometrical properties of nonlinear maps and their application, Part II: Nonlinear Riemann–Hilbert problems with closed boundary data for multiply connected domains

We use the degree of quasiruled Fredholm maps on quasicylindrical domains developed in Part I to prove the existence of at least two homotopically different solutions of classical nonlinear Riemann–Hilbert problems for multiply connected domains. © 2006 Elsevier Inc. All rights reserved