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arXiv 2018-01-26 1 views

Regularity for an anisotropic equation in the plane

Lindqvist, Peter · Ricciotti, Diego

Original · EN

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.

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