Abstract: In many important geometric differential equations, solutions are not necessarily regular. When singularity occurs, we still intend to explore whether solutions possess regularity of a certain degree. The structure of the singular sets, where solutions become singular, plays an important role. In this talk, we focus on one case. The singular sets are isolated. To study the regularity of solutions near the singular sets, we investigate asymptotic expansions of solutions. The talk is intended for a general audience.
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