We consider the nonlinear elliptic system −div(A (x, Du(x)) = 0 where A (x, ξ) is only h¨older continuous with p-growth. We no longer assume differentiability on A and we prove higher integrability of the gradient Du using fractional Sobolev spaces.
Higher integrability for the gradient of solutions to some nonlinear elliptic systems
LEONETTI, Francesco;
1996-01-01
Abstract
We consider the nonlinear elliptic system −div(A (x, Du(x)) = 0 where A (x, ξ) is only h¨older continuous with p-growth. We no longer assume differentiability on A and we prove higher integrability of the gradient Du using fractional Sobolev spaces.File in questo prodotto:
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