On nonlocal minimal graphs

Autor: Matteo Cozzi, Luca Lombardini
Rok vydání: 2020
Předmět:
DOI: 10.48550/arxiv.2010.16206
Popis: We develop a functional analytic approach for the study of nonlocal minimal graphs. Through this, we establish existence and uniqueness results, a priori estimates, comparison principles, rearrangement inequalities, and the equivalence of several notions of minimizers and solutions.
Comment: A preliminary version of this paper appeared as part of the PhD thesis of the second author
Databáze: OpenAIRE