A Neumann problem with critical exponent in nonconvex domains and Lin-Ni's conjecture

Author(s)
Wang, Liping
Wei, Juncheng
Yan, Shusen
Publication Date
2010
Abstract
In this paper, we consider the nonlinear elliptic Neumann problem... [This] equation arises in many branches of applied science. For example, it can be viewed as a steady-state equation for the shadow system of the Gierer-Meinhardt system in biology pattern formation, or for parabolic equations in chemotaxis, e.g. the Keller-Segel model.
Citation
Transactions of the American Mathematical Society, 362(9), p. 4581-4615
ISSN
1088-6850
0002-9947
Link
https://hdl.handle.net/1959.11/7230
Language
en
Publisher
American Mathematical Society
Title
A Neumann problem with critical exponent in nonconvex domains and Lin-Ni's conjecture
Type of document
Journal Article
Entity Type
Publication

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