Geodesic
Boundary higher integrability for the gradient of distributional solutions of nonlinear systems
Studia Mathematica, Tome 123 (1997) no. 2, pp. 175-184 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We consider distributional solutions to the Dirichlet problem for nonlinear elliptic systems of the type ${ div A(x, u, Du) = div f in Ω, u - u_0 ∈ W^{1,r}_0(Ω)$ with r less than the natural exponent p which appears in the coercivity and growth assumptions for the operator A. We prove that $Du ∈ W^{1,p}(Ω)$ if |r-p| is small enough. 
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     title = {Boundary higher integrability for the gradient of distributional solutions of nonlinear systems},
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Daniela Giachetti;  . Boundary higher integrability for the gradient of distributional solutions of nonlinear systems. Studia Mathematica, Tome 123 (1997) no. 2, pp. 175-184. doi: 10.4064/sm-123-2-175-184

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