Remarks on the gradient of an infinity-harmonic function
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In this work we (i) prove a maximum principle for the modulus of the gradient of infinity-harmonic functions, (ii) prove some local properties of the modulus, and (iii) prove that if the modulus is constant on the boundary of a planar disc then it is constant inside.
CitationBhattacharya, T. (2007). Remarks on the gradient of an infinity-harmonic function. Electronic Journal of Differential Equations, 2007(148), pp. 1-11.
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