Second order regularity for solutions to anisotropic degenerate elliptic equations

TL;DR

This paper investigates the regularity of solutions to degenerate anisotropic elliptic equations, establishing second-order estimates and regularity results for the stress field, with novel findings even in the Euclidean case.

Contribution

It provides new second-order regularity estimates for solutions to anisotropic degenerate elliptic equations, including the stress field, extending known results.

Findings

Established second-order regularity estimates.

Proved regularity results for the stress field.

Results are new even in the Euclidean setting.

Abstract

We consider solutions to degenerate anisotropic elliptic equations in order to study their regularity. In particular we establish second-order estimates and enclose regularity results for the stress field. All our results are new even in the euclidean case.