Regularity for an anisotropic equation in the plane
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Original versionNonlinear Analysis. 2018, 177 628-636. 10.1016/j.na.2018.02.002
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.