On the Dirichlet problem for quasilinear elliptic equation with a small parameter
We deal with the Dirichlet problem for a quasilinear elliptic equation with a small parameter at the highest derivatives. In case the characteristics of the degenerated equation are curvilinear and the domain, where the problem is defined, is a bounded convex domain we offer a method to construct the uniformly valid asymptotic solution of this problem, and prove that the solution of this problem really exists, and being uniquely determined as the small parameter is sufficiently small.
scientific article; zbMATH DE number 3987795