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

Hugo Beirao da Veiga

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arXiv · 1212.5878

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

Hugo Beirao da Veiga

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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 μ= 0 is covered.

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Hugo Beirao da Veiga. 2012-12-24. On the singular p-Laplacian system under Navier slip type boundary conditions. The gradient-symmetric case. https://arxiv.org/abs/1212.5878

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