Concentration of Solutions for a Singularly Perturbed Neumann Problem in non smooth domains
classification
🧮 math.AP
keywords
concentrationedgesneumannomegasolutionsassumingboundarybounded
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We consider the equation $-\epsilon^{2}\Delta u + u = u^ {p}$ in a bounded domain $\Omega\subset\R^{3}$ with edges. We impose Neumann boundary conditions, assuming $1<p<5$, and prove concentration of solutions at suitable points of $\partial\Omega$ on the edges.
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