Least Energy Solutions of Semilinear Neumann Problems and Asymptotics

✍ Scribed by Xing-Bin Pan; Xingwang Xu

• Publisher: Elsevier Science
• Year: 1996
• Tongue: English
• Weight: 218 KB
• Volume: 201
• Category: Article
• ISSN: 0022-247X
• DOI: 10.1006/jmaa.1996.0272

✦ Synopsis

The asymptotic behavior of the least energy solutions of a semilinear Neumann problem involving the critical Sobolev exponent on a bounded domain in R 4 is studied. Our main concern is the effect of the geometry of the boundary and the critical index, as contained in the boundary conditions, on the existence and the asymptotic behavior of the solutions.