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arXiv · 1010.0350

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

Serena Dipierro
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Abstract

We consider the equation $-ε^{2}Δu + u = u^ {p}$ in a bounded domain $Ω\subset\R^{3}$ with edges. We impose Neumann boundary conditions, assuming $1<p<5$, and prove concentration of solutions at suitable points of $\partialΩ$ on the edges.

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Serena Dipierro. 2010-11-27. Concentration of Solutions for a Singularly Perturbed Neumann Problem in non smooth domains. https://doi.org/10.1016/j.anihpc.2010.11.003

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