Boundary-value Problems with Free Boundaries for Elliptic Systems of Equations

This book is concerned with certain classes of nonlinear problems for elliptic systems of partial differential equations: boundary-value problems with free boundaries.

The first part has to do with the general theory of boundary-value problems for analytic functions and its applications to hydrodynamics.

The second presents the theory of quasiconformal mappings, along with the theory of boundary-value problems for elliptic systems of equations and applications of it to problems in the mechanics of continuous media with free boundaries: problems in subsonic gas dynamics, filtration theory, and problems in elastico-plasticity.