ABSTRACT
In this chapter, we explore Equation (1.4) when Ω = RN . We begin with the study of radial solutions.
In this section, we focus our attention on bounded radial stable solutions of
−∆u= f (u) in RN . (6.1) The following Liouville-type theorem is sharp (see, for example, [97, Theorem 5] for counter-examples).
