Calculus of Variations and Geometric Measure Theory

E. Pasqualetto - T. Rajala

Vector calculus on weighted reflexive Banach spaces

created by pasqualetto on 07 Jun 2023

[BibTeX]

preprint

Inserted: 7 jun 2023

Year: 2023

ArXiv: 2306.03684 PDF

Abstract:

We study first-order Sobolev spaces on reflexive Banach spaces via relaxation, test plans, and divergence. We show the equivalence of the different approaches to the Sobolev spaces and to the related tangent bundles.