On the location of spikes of solutions with two sharp layers for a singularly pertubed semilinear Dirichlet problem

Journal of Differential Equations

Volumn 157, Issue 1, 1999, Pages 82-101

  Dancer, E N ^a   Wei, Juncheng ^b  

^a UNIVERSITY OF SYDNEY   (Australia)

^b CHINESE UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

Nonlinear elliptic equations; Sharp layers

Indexed keywords

EID: 0033196372     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1006/jdeq.1998.3619     Document Type: Article

References (9)

1. E. N. Dancer, On the number of positive solutions of weakly nonlinear elliptic problems when a parameter is large, Proc. London Math. Soc. 53 (1986), 429-452.
2. E. N. Dancer, On positive solutions of some singularly perturbed problems where the nonlinearity changes sign, Topol. Methods Nonlinear Anal. 5 (1995), 141-175.
3. E. N. Dancer, A Note on Asymptotic Uniqueness for Some Nonlinearities which Change Sign, preprint, University of Sydney, 1995.
4. E. N. Dancer and J. Wei, On the profile of solutions with two sharp layers to a singularly perturbed semilinear Dirichlet problem, Proc. Roy. Soc. Edinburgh Sect. A 127 (1997), 691-701.
5. J. Jang, On spike solutions of singularly perturbed semilinear Dirichlet problems, J. Differential Equations 114 (1994), 370-395.
6. P. Korman, Y. Li, and T. Ouyang, Exact multiplicity results for boundary value problems with nonlinearities generalizing cubic, SIAM J. Math. Anal. 26 (1995), 180-189.
7. W.-M. Ni and I. Takagi, Locating the peaks of least-energy solutions to a semilinear Neumann problem, Duke Math. J. 70 (1993), 247-281.
8. W.-M. Ni, I. Takagi, and J. Wei, On the location and profile of intermediate solutions to a singularly perturbed semilinear Dirichlet problem, Duke Math. J. 94 (1998), 597-618.
9. W.-M. Ni and J. Wei, On the location and profile of spike-layer solutions to a singularly perturbed semilinear dirchlet problems, Comm. Pure Appl. Math. 48 (1995), 731-768.