High-Energy and Multi-Peaked Solutions for a Nonlinear Neumann Problem With Critical Exponents
Document Type
Article
Journal/Book Title/Conference
Proceedings of the Royal Society of Edinburgh: Section A Mathematics
Volume
125
Issue
5
Publisher
Cambridge University Press
Publication Date
1995
Award Number
NSF; Division of Mathematical Sciences 9201283
Funder
NSF, Division of Mathematical Sciences
First Page
1003
Last Page
1029
Abstract
We establish the existence of positive solutions with two peaks being located on the boundary of the domain for the problem -Δu + λu = up in antipodal invariant domains including ball domains with Neumann boundary conditions. Here p is the critical Sobolev exponent (N + 2)/(N - 2). The shape of the solutions and the location of the peaks are also studied.
Recommended Citation
Wang, Zhi-Qiang, "High-Energy and Multi-Peaked Solutions for a Nonlinear Neumann Problem With Critical Exponents" (1995). Mathematics and Statistics Faculty Publications. Paper 210.
https://digitalcommons.usu.edu/mathsci_facpub/210
