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arXiv · 2106.01547

The local behavior of positive solutions for higher order equation with isolated singularity

Yimei Li
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Abstract

We use blow up analysis for local integral equations to provide a blow up rates of solutions of higher order Hardy-Henon equation in a bounded domain with an isolated singularity, and show the asymptotic radial symmetry of the solutions near the singularity. This work generalizes the correspondence results of Jin-Xiong [8] on higher order conformally invariant equations with an isolated singularity.

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Yimei Li. 2021-06-03. The local behavior of positive solutions for higher order equation with isolated singularity. https://arxiv.org/abs/2106.01547

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