Interface Problems for Quasilinear Elliptic Equations

In this paper we consider interface problems for quasilinear elliptic partial differential equations in two-dimensional spaces. The main result is that the bounded weak solution in the neighborhood of a singular point can be divided into two parts, one of which is a function in H2, and the other one can be expressed as a finite linear combination of particular functions. The most singular function is a particular solution to the homogeneous equation with constant coefficients