Search results for "mappings of integrable distortion"

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Singularities in L^p-quasidisks

2021

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

PhysicsCusp (singularity)Distortion functionPure mathematicsquasidiskmappings of integrable distortionElastic energyBoundary (topology)Of the formArticlesCuspquasiconformalConnection (mathematics)funktioteoriaPlanarcuspGravitational singularityAnnales Fennici Mathematici

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