# A note on the continuity of minors in grand Lebesgue spaces

## TL;DR

This paper proves that minors of differential matrices of functions in grand Sobolev spaces are continuous in the distribution sense, aiding understanding in geometric function theory and PDEs.

## Contribution

It provides a simple proof of the distributional continuity of minors in grand Sobolev spaces, a key aspect previously not well-established.

## Key findings

- Minors of differential matrices are continuous in the sense of distributions.
- Grand Sobolev spaces are useful in geometric function theory and PDEs.
- The proof simplifies understanding of the regularity properties of mappings in these spaces.

## Abstract

We present a simple proof of the continuity, in the sense distributions, of the minors of the differential matrices of mappings belonging to grand Sobolev spaces. Such function spaces were introduced in connection with a problem on minimal integrability of the Jacobian and are useful in certain aspects of geometric function theory and partial differential equations.