On the location of spikes and profile of nodal solutions for a singularly perturbed neumann problem

Communications in Partial Differential Equations

Volumn 23, Issue 5-6, 1998, Pages 793-816

  Noussair, Ezzat S ^b   Wei, Juncheng ^a  

^a CHINESE UNIVERSITY OF HONG KONG   (Hong Kong)

^b NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0041173544     PISSN: 03605302     EISSN: None     Source Type: Journal    
DOI: 10.1080/03605309808821366     Document Type: Article

References (15)

1. N, Revista Mat. Iberoa. 6(1990), 1-15.
2. D.M. Cao, Multiple solutions for a Neumann problem in an exterior domain, Comm. PDE 18 (1993), 687-700.
3. N, Ann. Inst. H. Poincare, Analyse non Lineaire (5)1996.
4. M. J. Estaban, Nonsymmetric ground states of symmetric variational problems, Comm. Pure Appl. Math. 44(1991), 259-274.
5. n, Mathematical Analysis and Applications, Part A, Adv. Math. Suppl. Studies 7A (1981), Academic Press, New York, 369-402.
6. n, Arch. Rational Mech. Anal. 105 (1989), 243-266.
7. C.-S. Lin, W.-M. Ni and I. Takagi, Large amplitude stationary solutions to a chernotaxis systems, J. Diff. Eqns 72 (1988), 1-27.
8. W.-M. Ni and I. Takagi, On the shape of least energy solution to a semilinear Neumann problem, Comm. Pure Appl. Math. 41(1991), 819-851.
9. 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.
10. W.-M. Ni and I. Takagi, Point-condensation generated be a reaction-diffusion system in axially symmetric domains, Japan J. Industrial Appl. Math. 12(1995), 327-365.
11. W.-M. Ni and J. Wei, On the location and profile of spike-layer solutions to singularly perturbed semilinear Dirichlet problems, Comm. Pure Appl. Math. 48(1995), 731-768.
12. Noussair E. and J. Wei, On the shape and profile of nodal solutions for some singularly perturbed Dirichlet problems, preprint.
13. Z.-Q. Wang, On the existence of positive solutions for semilinear Neumann problems in exterior domains, Comm. PDE 17(1992), 1309-1325.
14. J. Wei, On the boundary spike solutions of a singularly perturbed semi-linear Neumann problem, J. Diff. Eqns. 134(1997), 104-133.
15. J.Wei and M. Winter, Stationary solutions of Cahn-Milliard equation, Analyse Non Lineaire, Annoles de l'Institut H. Poincare, to appear.