Interior spikes of a singularly perturbed Neumann problem with potentials
نویسندگان
چکیده
منابع مشابه
Interior spikes of a singularly perturbed Neumann problem with potentials
where Ø is a smooth bounded domain of R with external normal ν, N ≥ 3, 1 < p < (N + 2)/(N − 2), J : R → R and V : R → R are C functions. In [5], the first author, extending the classical results by Ni and Takagi, in [3, 4], proved that there exist solutions of (1) that concentrate at maximum and minimum points of a suitable auxiliary function defined on the boundary ∂Ø and depending only on J a...
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Such a problem was intensively studied in several works. For example, Ni & Takagi, in [11, 12], show that, for ε sufficiently small, there exists a solution uε of (2) which concentrates in a point Qε ∈ ∂Ω andH(Qε) → max∂ΩH , here H denotes the mean curvature of ∂Ω. Moreover in [10], using the LiapunovSchmidt reduction, Li constructs solutions with single peak and multi-peaks on ∂Ω located near ...
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ژورنال
عنوان ژورنال: Applied Mathematics Letters
سال: 2004
ISSN: 0893-9659
DOI: 10.1016/j.aml.2004.07.004