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Blow-up and nonexistence of sign changing solutions to the Brezis–Nirenberg problem in dimension three
- Source :
-
Annales de l'Institut Henri Poincaré C . Jul2006, Vol. 23 Issue 4, p567-589. 23p. - Publication Year :
- 2006
-
Abstract
- Abstract: In this paper we study low energy sign changing solutions of the critical exponent problem in Ω, on ∂Ω, where Ω is a smooth bounded domain in and λ is a real positive parameter. We make a precise blow-up analysis of this kind of solutions and prove some comparison results among some limit values of the parameter λ which are related to the existence of positive or of sign changing solutions. [Copyright &y& Elsevier]
- Subjects :
- *EXPONENTS
*EXPONENTIAL functions
*MATHEMATICAL analysis
*MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 02941449
- Volume :
- 23
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Annales de l'Institut Henri Poincaré C
- Publication Type :
- Academic Journal
- Accession number :
- 21577504
- Full Text :
- https://doi.org/10.1016/j.anihpc.2005.07.001