Higher regularity of solutions to the singular $p$-Laplacean system

TL;DR

This paper investigates the regularity properties of solutions to the singular p-Laplace system, with corrected proofs for key theorems under specific conditions, advancing understanding of solution smoothness in nonlinear PDEs.

Contribution

The authors provide new regularity results for the singular p-Laplace system, with corrected proofs for main theorems under certain parameter restrictions.

Findings

Theorem 1.3 is correct as originally stated.

Theorems 1.1 and 1.2 hold with >0 and specific p restrictions.

Proofs for the main results have been revised accordingly.

Abstract

This paper has been withdrawn by the authors due to a mistake in the proof of the chief result. In particular Theorem 1.3 is correct, while Theorem 1.1 and Theorem 1.2 hold with \mu>0 and a suitable restriction on the exponent p. The proof of the modified statements is slightly different.