Higher integrability of generalized Stokes system under perfect slip boundary conditions
نویسندگان
چکیده
We prove an L q theory result for generalized Stokes system on a C 2,1 domain complemented with the perfect slip boundary conditions and under Φ−growth conditions. Since the interior regularity was obtained in [3], a regularity up to the boundary is an aim of this paper. In order to get the main result, we use Calderón–Zygmund theory and the method developed in [1]. We obtain higher integrability of the first gradient of a solution.
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