Boundary regularity of flows under perfect slip boundary conditions

Abstract

We investigate boundary regularity of solutions of generalized Stokes equations. The problem is complemented with perfect slip boundary conditions and we assume that the nonlinear elliptic operator satisfies non-standard I center dot-growth conditions.

We show the existence of second derivatives of velocity and their optimal regularity.

Keywords

• Boundary regularity
• Perfect Slip Boundary Condition
• Generalized Stokes System