The DeGiorgi classes $[DG]_p(E;\gamma)$, defined in equation (1.1)± of the manuscript 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).
Some Properties of DeGiorgi Classes
GIANAZZA, UGO PIETRO
2016-01-01
Abstract
The DeGiorgi classes $[DG]_p(E;\gamma)$, defined in equation (1.1)± of the manuscript 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).File in questo prodotto:
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