Abstract
We present some recent sharp estimates for the Hölder exponent of solutions of linear second order elliptic equations in divergence form with measurable coefficients. We apply such results to planar Beltrami equations, and we exhibit a mapping of the “angular stretching” type for which our estimates are attained.
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Ricciardi, T.: On the best Hölder exponent for two dimensional elliptic equations in divergence form, to appear on Proc. Amer. Math. Soc.; preprint available on arXiv:math.AP/0510606.
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Supported in part by the MIUR National Project Variational Methods and Nonlinear Differential Equations.
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Ricciardi, T. Some sharp Hölder estimates for two-dimensional elliptic equations. J Glob Optim 40, 399–403 (2008). https://doi.org/10.1007/s10898-007-9181-x
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DOI: https://doi.org/10.1007/s10898-007-9181-x