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Some Properties of DeGiorgi Classes

Analysis of PDEs 2017-04-06 v1

Abstract

The DeGiorgi classes [DG]p(E;γ)[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).

Keywords

Cite

@article{arxiv.1604.07699,
  title  = {Some Properties of DeGiorgi Classes},
  author = {Emmanuele DiBenedetto and Ugo Gianazza},
  journal= {arXiv preprint arXiv:1604.07699},
  year   = {2017}
}
R2 v1 2026-06-22T13:41:19.282Z