By Luis A. Caffarelli

This ebook presents a self-contained improvement of the regularity conception for recommendations of totally nonlinear elliptic equations. Caffarelli and Cabré provide a close presentation of all options had to expand the classical Schauder and Calderón-Zygmund regularity theories for linear elliptic equations to the absolutely nonlinear context.

The authors current the most important principles and end up all of the effects wanted for the regularity conception of viscosity strategies of absolutely nonlinear equations. The publication includes the learn of convex absolutely nonlinear equations and entirely nonlinear equations with variable coefficients.

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