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 include...
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Main Authors | , |
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Format | Journal Article |
Language | English |
Published |
25.01.2018
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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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DOI: | 10.48550/arxiv.1801.08661 |