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RESEARCH PRODUCT
Singularities in L^p-quasidisks
Jani OnninenTadeusz IwaniecZheng Zhusubject
PhysicsCusp (singularity)Distortion functionPure mathematicsquasidiskmappings of integrable distortionElastic energyBoundary (topology)Of the formArticlesCuspquasiconformalConnection (mathematics)funktioteoriaPlanarcuspGravitational singularitydescription
We study planar domains with exemplary boundary singularities of the form of cusps. A natural question is how much elastic energy is needed to flatten these cusps; that is, to remove singularities. We give, in a connection of quasidisks, a sharp integrability condition for the distortion function to answer this question. peerReviewed
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2021-08-30 | Annales Fennici Mathematici |