chapter  4
11 Pages

Qualitative Properties of Positive Solutions of Elliptic Equations

ByH. Berestycki

This talk is intended as a survey of recent results about qualitative properties for positive solutions of semilinear elliptic equations of the type () Δ u   +   f ( u )   =   0     in     Ω , () u   =   0     on     ∂ Ω in various geometrical settings of unbounded domains Ω. The case of bounded domains will first be recalled in section 2 below.