BVP FOR A NONUNIFORMLY ELLIPTIC SYSTEM OF PARTIAL-DIFFERENTIAL EQUATIONS

In this work we make a special choice of material following the invest igations of nonlinear elliptic systems of equations with two unknowns in the plane domains and linear boundary value problems. We give an il lustration for the use of function theoretic methods in some systems o f partial differential equations with degeneration of ellipticity and we find properly posed problems for such systems and their solutions.