ON ELLIPTIC PROBLEMS IN $ \mathbf{R}^N$ WITH SUPERCRITICAL EXPONENT OF NONLINEARITY

Abstract

Elliptic problems of the form are considered under appropriate conditions. This class of problems includes the inhomogeneous Emden-Fowler problem with .The first part of this article is concerned with radial solutions, where and . The second part considers solvability in classes of functions with prescribed bound on decay at infinity, but without assumptions on radial symmetry.