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arXiv 2010-10-02 DOI 10.1016/j.anihpc.2010.11.003 0 views

Concentration of Solutions for a Singularly Perturbed Neumann Problem in non smooth domains

Dipierro, Serena

Original · EN

We consider the equation -ε²Δu + u = uᵖ in a bounded domain Ω⊂³ with edges. We impose Neumann boundary conditions, assuming 1<p<5, and prove concentration of solutions at suitable points of ∂Ω on the edges.

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