We consider the equation -ε 2Δu+u=up in a bounded domain Ω ⊂ ℝ 3 with edges. We impose Neumann boundary conditions, assuming 1<p<5, and prove concentration of solutions at suitable points of δΩ on the edges.
Concentration of solutions for a singularly perturbed Neumann problem in non-smooth domains / S. Dipierro. - In: ANNALES DE L INSTITUT HENRI POINCARÉ. ANALYSE NON LINÉAIRE. - ISSN 0294-1449. - 28:1(2011), pp. 107-126.
Concentration of solutions for a singularly perturbed Neumann problem in non-smooth domains
S. Dipierro
2011
Abstract
We consider the equation -ε 2Δu+u=up in a bounded domain Ω ⊂ ℝ 3 with edges. We impose Neumann boundary conditions, assuming 1
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