Аннотация:
In this paper we study the questions of the solvability for certain boundary and external boundary value problems for quasilinear elliptic equations on arbitrary non-compact Riemannian manifolds. We compare the behavior of unbounded functions "at infinity", using a new approach which is based on the consideration of equivalence classes of functions on $M$.
Ключевые слова:quasilinear elliptic equation, boundary value problem, stability of the solvability, nonnegative solution, noncompact Riemannian manifolds, the Dirichlet problem.