О разрешимости краевых задач для квазилинейных эллиптических уравнений на некомпактных римановых многообразиях

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 $M$.