# American Institute of Mathematical Sciences

April  1996, 2(2): 221-236. doi: 10.3934/dcds.1996.2.221

## On the existence and profile of multi-peaked solutions to singularly perturbed semilinear Dirichlet problems

 1 Wuhan Institute of Mathematical Sciences, Wuhan, China 2 University of Sydeny, NSW 2006, Australia 3 School of Mathematics, The University of New South Wales, Sydney 2052, Australia 4 South China University of Technology, Guangzhou 510641, China

Received  February 1996 Published  February 1996

Multi-peaked solutions to a singularly perturbed elliptic equation on a bounded domain $\Omega$ are constructed, provided the distance function $d(x, \delta\Omega)$ has more than one strict local maximum.
Citation: Daomin Cao, Norman E. Dancer, Ezzat S. Noussair, Shunsen Yan. On the existence and profile of multi-peaked solutions to singularly perturbed semilinear Dirichlet problems. Discrete & Continuous Dynamical Systems - A, 1996, 2 (2) : 221-236. doi: 10.3934/dcds.1996.2.221
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