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

Title
A Neumann problem with critical exponent in nonconvex domains and Lin-Ni's conjecture
Publication Date
2010
Author(s)
Wang, Liping
Wei, Juncheng
Yan, Shusen
Type of document
Journal Article
Language
en
Entity Type
Publication
Publisher
American Mathematical Society
Place of publication
United States of America
UNE publication id
une:7396
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.
Link
link
Citation
Transactions of the American Mathematical Society, 362(9), p. 4581-4615
ISSN
1088-6850
0002-9947
Start page
4581
End page
4615

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