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• W1979276306 abstract "We consider the equation −ε2Δu+u=up in Ω⊆RN, 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 N=3 and k=1." @default.
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• W1979276306 date "2007-03-01" @default.
• W1979276306 modified "2023-10-13" @default.
• W1979276306 title "Concentration on minimal submanifolds for a singularly perturbed Neumann problem" @default.
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• W1979276306 doi "https://doi.org/10.1016/j.aim.2006.05.014" @default.
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