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Singularly perturbed nonlinear Neumann problems under the conditions of Berestycki and Lions
- Source :
-
Journal of Differential Equations . Mar2012, Vol. 252 Issue 6, p3848-3872. 25p. - Publication Year :
- 2012
-
Abstract
- Abstract: Let Ω be a bounded domain in with the boundary . We consider the following singularly perturbed nonlinear elliptic problem on Ω, where ν is the exterior normal to ∂Ω and the nonlinearity f is of subcritical growth. It has been known that under Berestycki and Lions conditions for and , there exists a solution of the problem which develops a spike layer near a local maximum point of the mean curvature H on ∂Ω for small . In this paper, we extend the previous result for and . [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 00220396
- Volume :
- 252
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- Journal of Differential Equations
- Publication Type :
- Academic Journal
- Accession number :
- 70946927
- Full Text :
- https://doi.org/10.1016/j.jde.2011.12.013