Boundary concentrations on segments for a neumann ambrosetti-prodi problem
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS(2022)
摘要
Given a smooth bounded domain Omega subset of R-2, we consider the following Ambrosetti-Prodi problem with Neumann boundary: {-triangle u = |u|(p) - sigma in Omega, partial derivative u/partial derivative v = 0 on partial derivative Omega. where p > 2, sigma > 0 is a large parameter and nu denotes the outward normal of partial derivative Omega. We constructed a new class of solutions comprised of a large number of spikes concentrated on a segment of the boundary containing a local minimum point of the mean curvature function and having the same mean curvature at the endpoints. A similar boundary-concentrating phenomenon was obtained for the Lin-Ni-Takagi problem by Ao et al. [3].
更多查看译文
关键词
Ambrosetti-Prodi equation,boundary concentrating solutions,Lyapunov-Schmidt reduction
AI 理解论文
溯源树
样例
![](https://originalfileserver.aminer.cn/sys/aminer/pubs/mrt_preview.jpeg)
生成溯源树,研究论文发展脉络
Chat Paper
正在生成论文摘要