刊名:Journal of Mathematical Analysis and Applications
出版年:2016
出版时间:1 May 2016
年:2016
卷:437
期:1
页码:485-497
全文大小:369 K
文摘
We exhibit a new concentration phenomenon for the problem
−ε2Δu+u=|u|p−2u in Ω, u=0 on ∂Ω,
where Ω is some bounded smooth domain in RN, N≥4, ε>0, and . We show that there is a sequence of sign changing solutions, which concentrate at a single point, whose asymptotic profile as ε→0 is a rescaling of a nonradial sign changing solution to the limit problem