Sign-changing tower of bubbles for the Brezis–Nirenberg problem
Sign-changing tower of bubbles for the Brezis–Nirenberg problem
复制标题
Brezis-Nirenberg 问题的符号变化气泡塔
DOI：
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发表时间：
2014
期刊：
影响因子：
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通讯作者：
Giusi Vaira
中科院分区：
文献类型：
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作者：
A. Iacopetti;Giusi Vaira
本文证明了：−Δu=|u|p−1u+ϵuinΩ，u=0 on∂Ω，其中Ω是ℝN，N≥7中的对称有界光滑区域，p=N+2 N−2，对于所有足够小的ϵ>；0，有一个具有交替符号的两个气泡塔形的解。
In this paper, we prove that the Brezis–Nirenberg problem: −Δu = |u|p−1u + ϵuinΩ,u = 0on∂Ω, where Ω is a symmetric bounded smooth domain in ℝN, N ≥ 7 and p = N+2 N−2, has a solution with the shape of a tower of two bubbles with alternate signs, centered at the center of symmetry of the domain, for all ϵ > 0 sufficiently small.