The DeGiorgi classes [DG]p(E; γ), defined in (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 (§ 2and§ 3.1), and some known facts scattered in the literature (§ 3–§ 5), and formulate some open issues (§ 6).
