English

Global Higher Integrability of the Gradient of the A-Laplace Equation Solution

Analysis of PDEs 2021-04-20 v1

Abstract

In this paper, we establish higher integrability of the gradient of the solution of the quasilinear elliptic equation ΔAu=div(a(F)FF)\Delta_Au=\text{div}\left(\frac{a(|F|)}{|F|}F\right) in Rn\mathbb{R}^n, where ΔAu\Delta_Au is the so called A-Laplace operator.

Keywords

Cite

@article{arxiv.2104.08831,
  title  = {Global Higher Integrability of the Gradient of the A-Laplace Equation Solution},
  author = {Abdeslem Lyaghfouri},
  journal= {arXiv preprint arXiv:2104.08831},
  year   = {2021}
}