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

摘要

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. (c) 2006 Elsevier Inc. All rights reserved.