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Sixth International Conference on Differential and Functional Differential Equations DFDE-2011
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Glaeser-type interpolation inequalities I. Capuzzo Dolcetta Sapienza University of Rome, Italy |
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Abstract: I will present some recent results, in collaboration with A. Vitolo, concerning pointwise gradient estimates for nonnegative viscosity solutions of fully nonlinear second order elliptic equations. The results extend to a quite general nonlinear setting those of Yan Yan Li and Louis Nirenberg [Progress in Nonlinear Differential Equations and Their Applications, 66 (2005)] about the so-called Glaeser estimate for solutions of linear second-order elliptic equations. |
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