Some Properties of DeGiorgi Classes

Abstract

The DeGiorgi classes $[DG{]}_p(E;\gamma )$, defined in (1.1)${}_{\pm }$ 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).

References in corpus (1)

• Sharp exponents and a Wiener type condition for boundary regularity of quasiminimizers