Optimal Lipschitz criteria and local estimates for non-uniformly elliptic problems
Lisa Beck
Universität Augsburg, GermanyGiuseppe Mingione
Università di Parma, Italy
Abstract
We report on new techniques and results in the regularity theory of general non-uniformly elliptic variational integrals. By means of a new potential theoretic approach we reproduce, in the non-uniformly elliptic setting, the optimal criteria for Lipschitz continuity known in the uniformly elliptic one and provide a unified approach between non-uniformly and uniformly elliptic problems.
Cite this article
Lisa Beck, Giuseppe Mingione, Optimal Lipschitz criteria and local estimates for non-uniformly elliptic problems. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 30 (2019), no. 2, pp. 223–236
DOI 10.4171/RLM/844