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arXiv · 1604.07699

Some Properties of DeGiorgi Classes

Emmanuele DiBenedetto·Ugo Gianazza
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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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Emmanuele DiBenedetto, Ugo Gianazza. 2016-04-26. Some Properties of DeGiorgi Classes. https://doi.org/10.13137/2464-8728/13159

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