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Li, Gongbao; Peng, Shuangjie; Yan, Shusen

A new type of solutions for a singularly perturbed elliptic Neumann problem. (English) Zbl 1153.35040

Rev. Mat. Iberoam. 23, No. 3, 1039-1066 (2007).
The paper deals with existence of positive solutions to a nonlinear singularly perturbed elliptic Neumann problem, which concentrate simultaneously on some higher dimensional manifolds near and on the boundary of the underlying domain.
Reviewer: Dian K. Palagachev (Bari)

Cited in 2 Documents

MSC:

35J65 Nonlinear boundary value problems for linear elliptic equations
58J32 Boundary value problems on manifolds
35B25 Singular perturbations in context of PDEs
58J37 Perturbations of PDEs on manifolds; asymptotics
35J20 Variational methods for second-order elliptic equations

Keywords:

singularly perturbed elliptic equations; variational method; concentrating solutions; higher dimensional manifolds
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\textit{G. Li} et al., Rev. Mat. Iberoam. 23, No. 3, 1039--1066 (2007; Zbl 1153.35040)
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References:

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