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A priori estimates for solutions of Monge-Ampère equations - MaRDI portal

A priori estimates for solutions of Monge-Ampère equations (Q1062205)

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scientific article; zbMATH DE number 3912861
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A priori estimates for solutions of Monge-Ampère equations
scientific article; zbMATH DE number 3912861

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    A priori estimates for solutions of Monge-Ampère equations (English)
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    1985
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    The author shows interior estimates for the most general Monge-Ampère equations in two dimensions. Hölder continuity of second derivatives is estimated in terms of bounds on the function and its first derivatives. This result extends a similar result proved by L. Nirenberg less regularity on the coefficients is assumed.
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    interior estimates
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    Monge-Ampère equations
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