English

On the singular p-Laplacian system under Navier slip type boundary conditions. The gradient-symmetric case

Analysis of PDEs 2012-12-27 v1

Abstract

We consider the p-Laplacian system of N equations in n space variables, 1< p\leq 2, under the homogeneous Navier slip boundary condition. Furthermore, the gradient of the velocity is replaced by the, more physical, symmetric gradient. We prove W^{2, q} regularity, up to the boundary, under suitable assumptions on the couple p,q. The singular case \mu= 0 is covered.

Keywords

Cite

@article{arxiv.1212.5878,
  title  = {On the singular p-Laplacian system under Navier slip type boundary conditions. The gradient-symmetric case},
  author = {Hugo Beirao da Veiga},
  journal= {arXiv preprint arXiv:1212.5878},
  year   = {2012}
}