Regularity for an anisotropic equation in the plane
We present a simple proof of the \(C^1\) regularity of \(p\)-anisotropic functions in the plane for \(2\leq p<\infty\). We achieve a logarithmic modulus of continuity for the derivatives. The monotonicity (in the sense of Lebesgue) of the derivatives is used. The case with two exponents is also i...
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Published in | arXiv.org |
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Main Authors | , |
Format | Paper |
Language | English |
Published |
Ithaca
Cornell University Library, arXiv.org
26.01.2018
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Subjects | |
Online Access | Get full text |
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Summary: | We present a simple proof of the \(C^1\) regularity of \(p\)-anisotropic functions in the plane for \(2\leq p<\infty\). We achieve a logarithmic modulus of continuity for the derivatives. The monotonicity (in the sense of Lebesgue) of the derivatives is used. The case with two exponents is also included. |
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ISSN: | 2331-8422 |