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Zbl 0947.35073
Cao, Daomin; Dancer, Norman E.; Noussair, Ezzat S.; Yan, Shunsen
On the existence and profile of multi-peaked solutions to singularly perturbed semilinear Dirichlet problems. (English)
[J] Discrete Contin. Dyn. Syst. 2, No.2, 221-236 (1996). ISSN 1078-0947; ISSN 1553-5231/e

Summary: Multi-peaked solutions to a singularly perturbed elliptic equation on a bounded domain $\Omega$ are constructed, provided the distance function $d(x,\partial\Omega)$ has more than one strict local maximum.

MSC 2000:: *35J65 (Nonlinear) BVP for (non)linear elliptic equations
35B25 Singular perturbations (PDE)
35A05 General existence and uniqueness theorems (PDE)
35B05 General behavior of solutions of PDE

Keywords: existence; profile; multi-peaked solutions

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