Regularity of the derivatives of p-orthotropic functions in the plane for 1<p<2
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🧮 math.AP
keywords
derivativesfunctionsorthotropicplaneregularityachievecontinuityexplicit
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We present a proof of the $C^1$ regularity of $p$-orthotropic functions in the plane for $1<p<2$, based on the monotonicity of the derivatives. Moreover we achieve an explicit logarithmic modulus of continuity.
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