$C^1$ regularity of orthotropic $p-$harmonic functions in the plane

arxiv: 1607.05116 · v1 · pith:PTUNZHSYnew · submitted 2016-07-18 · 🧮 math.AP · math.OC

C¹ regularity of orthotropic p-harmonic functions in the plane

Pierre Bousquet , Lorenzo Brasco This is my paper

classification 🧮 math.AP math.OC

keywords functionsharmonicorthotropicequationlocalmathbbplaneprove

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We prove that local weak solutions of the orthotropic $p-$harmonic equation in $\mathbb{R}^2$ are $C^1$ functions.

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