Abstract :
In this article we consider the following fourth order mean field equation on smooth domain Ω R4:
2u =
Keu
Ω Keu
in Ω,
u = u =0 on∂Ω,
where ∈ R and 0
Keywords :
Topological methods , Fourth order nonlinear elliptic equation , Critical point at infinity , Morse theory
Journal title :
Journal of Functional Analysis
Journal title :
Journal of Functional Analysis