University of Cambridge > Talks.cam > Geometric Analysis and Partial Differential Equations seminar > C^{1,α} regularity of solutions of degenerate elliptic equations

C^{1,α} regularity of solutions of degenerate elliptic equations

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In this talk, a class of degenerate fully non-linear elliptic equations is considered. It was introduced in a series of paper by Birindelli and Demengel. We first present Hölder estimates for these equations. They are next combined with new Lipschitz estimates obtained in collaboration with L. Silvestre through the Ishii-Lions method in order to get C1,α estimates for solutions of these equations.

This talk is part of the Geometric Analysis and Partial Differential Equations seminar series.

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