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Some Properties of DeGiorgi Classes

Published 26 Apr 2016 in math.AP | (1604.07699v1)

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 (\S 2 and \S 3.1), and some known facts scattered in the literature (\S 3-\S 5), and formulate some open issues (\S 6).

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