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arxiv: 1704.05651 · v1 · pith:EBQTOTAOnew · submitted 2017-04-19 · 🧮 math.AP

The critical semilinear elliptic equation with isolated boundary singularities

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keywords boundarycriticalequationisolatedsemilinearsingularitiesasymptoticbehaviors
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We establish quantitative asymptotic behaviors for nonnegative solutions of the critical semilinear equation $-\Delta u=u^{\frac{n+2}{n-2}}$ with isolated boundary singularities, where $n\ge 3$ is the dimension.

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