Pointwise estimates for the gradient of solutions to the p-Laplace system with right-hand side
in divergence form are established. Their formulation involves the sharp maximal operator …

In this paper we consider integral functionals of the form with convex integrand satisfying p
growth conditions with respect to the gradient variable. As a novel feature, the dependence …

We provide a higher differentiability result for the finite energy solutions u∈ W 1, 1 (Ω, RN) of
a degenerate elliptic system of the form div A (x, D u)= 0 in Ω⊂ R n, where Ω is a bounded …

We establish higher differentiability results for local solutions of elliptic systems of the type
divA (x, Du)= 0 in a bounded open set in R2. The operator A (x, ξ) is assumed to be strictly …

We prove the higher differentiability and the higher integrability of the a priori bounded local
minimizers of integral functionals of the form ℱ⁢(v, Ω)=∫ Ω f⁢(x, D⁢ v⁢(x))⁢ dx, with convex …

Partial regularity for general systems of double phase type with continuous coefficients -
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Abstract For Ω⊆ R n an open and bounded region we consider solutions u∈ W loc 1, p
(x)(Ω; RN), with N> 1, of the p (x)-Laplacian system∇⋅(a (x)| D u| p (x)− 2 D u)= 0, ae x∈ Ω …

We consider solutions u∈ W 1, p (Ω; RN) of the p-Laplacian PDE∇⋅(a (x)| D u| p− 2 D u)=
0, for x∈ Ω⊆ R n, where Ω is open and bounded. More generally, we consider solutions of …

Calculus of variations--regularity results for non-autonomous variational integrals with
discontinuous coefficients - Document - Gale Academic OneFile Use this link to get back to this …

We establish partial regularity for solutions to systems modeling electro-rheological fluids in
the stationary case. As a model case our result covers the low order regularity of systems of …