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- W2910414280 abstract "We establish a new oscillation estimate for solutions of nonlinear partial differential equations of elliptic, degenerate type. This new tool yields a precise control on the growth rate of solutions near their set of critical points, where ellipticity degenerates. As a consequence, we are able to prove the planar counterpart of the longstanding conjecture that solutions of the degenerate $p$-Poisson equation with a bounded source are locally of class $C^{p^prime}=C^{1,frac{1}{p-1}}$; this regularity is optimal." @default.
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- W2910414280 date "2017-08-01" @default.
- W2910414280 modified "2023-10-17" @default.
- W2910414280 title "A proof of the <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si1.gif overflow=scroll><mml:msup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:msup><mml:mrow><mml:mi>p</mml:mi></mml:mrow><mml:mrow><mml:mo>′</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:msup></mml:math>-regularity conjecture in the plane" @default.
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- W2910414280 doi "https://doi.org/10.1016/j.aim.2017.06.027" @default.
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