Huan-Song Zhou
Wuhan Institute of Physics and Mathematics, The Chinese
Academy of Sciences, Wuhan
26 Oct 2009 3-4pm, Carslaw Room 454
In this talk, we will talk about the following type of nonlinear
stationary Schrödinger equation: -Δu + (1 + λg(x))u = f(u) and u > 0 in 
N,
u 
H1(N) N ≥ 3, where λ ≥ 0, g(x) 
L∞(
N) which vanishes on a
bounded domain in N, and f(s) ~ (α + 1)s at +∞. We discuss how the
existence and behavior of the solutions of the equation depend on the
parameters λ and α. This is joint work with C.A.Stuart and Z.P. Wang.
Check also the PDE Seminar page. Enquiries to Florica Cîrstea or Daniel Daners.