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Improved Hölder regularity for strongly elliptic PDEs
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A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
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en
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Journal de Mathématiques Pures et Appliquées, Volume 140, pp. 230-258
Abstract
We establish surprising improved Schauder regularity properties for solutions to the Leray-Lions divergence type equation in the plane. The results are achieved by studying the nonlinear Beltrami equation and making use of special new relations between these two equations. In particular, we show that solutions to an autonomous Beltrami equation enjoy a quantitative improved degree of Hölder regularity, higher than what is given by the classical exponent 1/K.
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Astala, K, Clop, A, Faraco, D, Jääskeläinen, J & Koski, A 2020, 'Improved Hölder regularity for strongly elliptic PDEs', Journal de Mathématiques Pures et Appliquées, vol. 140, pp. 230-258. https://doi.org/10.1016/j.matpur.2020.06.005