Elias Wegert, George Khimshiashvili, and Ilya Spitkovsky
abstract:
An existence theorem for solutions of non-linear transmission problems
is proved using certain special estimates of inverses of Toeplitz operators.
A framework for construction of analytic discs attached to singular targets
is described, and a mechanism of creating such discs is presented.
Mathematics Subject Classification: 30E25, 32F35, 32S05.
Key words and phrases: Transmission problems, Toeplitz operators, analytic discs.