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arxiv: 1901.03412 · v2 · pith:JXKI5TN2new · submitted 2019-01-10 · 🧮 math.AP

Removable sets in non-uniformly elliptic problems

Iwona Chlebicka , Cristiana De Filippis This is my paper
classification 🧮 math.AP
keywords ellipticremovablesetssolutionsanalyzecharacterizecontinuousdouble
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We analyze fine properties of solutions to quasilinear elliptic equations with double phase structure and characterize, in the terms of intrinsic Hausdorff measures, the removable sets for H\"older continuous solutions.

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    Proves regularity for non-autonomous obstacle problems with (p,q)-growth under suitable assumptions that cover main literature models.