Concentration on minimal submanifolds for a singularly perturbed Neumann problem
نویسندگان
چکیده
منابع مشابه
Concentration on minimal submanifolds for a singularly perturbed Neumann problem
We consider the equation −ε2∆u+u = u in Ω ⊆ R , where Ω is open, smooth and bounded, and we prove concentration of solutions along k-dimensional minimal submanifolds of ∂Ω, for N ≥ 3 and for k ∈ {1, . . . , N − 2}. We impose Neumann boundary conditions, assuming 1 < p < N−k+2 N−k−2 and ε → 0+. This result settles in full generality a phenomenon previously considered only in the particular case ...
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 2007
ISSN: 0001-8708
DOI: 10.1016/j.aim.2006.05.014