Arbitrary many boundary peak solutions for an elliptic Neumann problem with critical growth

Author(s)
Wei, Juncheng
Yan, Shusen
Publication Date
2007
Abstract
We consider the following problem, [**EQUATION**] where μ > 0 is a large parameter, Ω is a bounded domain in ℝⁿ, N ≤ 3 and 2* = 2N/(N - 2). Let H(P) be the mean curvature function of the boundary. Assuming that H(P) has a local minimum point with positive minimum, then for any integer k, the above problem has a k-boundary peaks solution. As a consequence, we show that if Ω is 'strictly convex', then the above problem has arbitrarily many solutions, provided that μ is large.
Citation
Journal de Mathematiques Pures et Appliquees, 88(4), p. 350-378
ISSN
1776-3371
0021-7824
Link
https://hdl.handle.net/1959.11/5628
Publisher
Elsevier Masson
Title
Arbitrary many boundary peak solutions for an elliptic Neumann problem with critical growth
Type of document
Journal Article
Entity Type
Publication

Files:

NameSizeformatDescriptionLink