Existence and nonexistence of interior-peaked solution for a nonlinear neumann problem

Authors
Cao, DM Noussair, ES Yan, SS
Citation
Dm. Cao et al., Existence and nonexistence of interior-peaked solution for a nonlinear neumann problem, PAC J MATH, 200(1), 2001, pp. 19-41
Citations number
31
Categorie Soggetti
Mathematics
Journal title
PACIFIC JOURNAL OF MATHEMATICS
ISSN journal
00308730 → ACNP
Volume
200
Issue
1
Year of publication
2001
Pages
19 - 41
Database
ISI
SICI code
0030-8730(200109)200:1<19:EANOIS>2.0.ZU;2-K
Abstract
We show that the critical problem [GRAPHICS] has no positive solutions concentrating, as lambda --> infinity, at interio r points of Omega if a = 0, but for a class of symmetric domains Omega, the problem with a > 0 has solutions concentrating at interior points of Omega .