Regularity for an anisotropic equation in the plane
Journal article
Submitted version
Date
2018Metadata
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- Institutt for matematiske fag [2601]
- Publikasjoner fra CRIStin - NTNU [39811]
Abstract
We present a simple proof of the C1 regularity of p-anisotropic functions in the plane for 2≤p <∞. 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.