Regularity for quasilinear vectorial elliptic systems through an iterative scheme with numerical applications

Abstract

We consider an iterative procedure to solve quasilinear elliptic systems with $p$-growth. The scheme was first considered by Koshelev in the quadratic case $p=2$. We present numerical applications as well as applications to higher regularity properties.

Improved presentation and examples

References in corpus (2)

• Firedrake: automating the finite element method by composing abstractions
• On global $L^q$ estimates for systems with $p$-growth in rough domains