Some Properties of DeGiorgi Classes

Abstract

The DeGiorgi classes [DG]p(E;γ), defined in (1.1) below encompass, solutions of quasilinear elliptic equations with measurable coefficients as well as minima and Q-minima of variational integrals. For these classes we present some new results ( 2 and 3.1), and some known facts scattered in the literature ( 3- 5), and formulate some open issues ( 6).

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