We prove a maximal differentiability and regularity result for solutions to nonlinear measure
data problems. Specifically, we deal with the limiting case of the classical theory of Calderón …

We prove fine higher regularity results of Calder\'on-Zygmund-type for equations involving
nonlocal operators modelled on the fractional $ p $-Laplacian with possibly discontinuous …

Best possible second-order regularity is established for solutions to p-Laplacian type
equations with p ∈ (1, ∞) p∈(1,∞) and a square-integrable right-hand side. Our results …

The paper is concerned with higher order Calderón-Zygmund estimates for the p-Laplace
equation− div (A (∇ u)):=− div (|∇ u| p− 2∇ u)=− div F, 1< p<∞. We are able to transfer local …

A sharp pointwise differential inequality for vectorial second-order partial differential
operators, with Uhlenbeck structure, is offered. As a consequence, optimal second-order …

We study weak solutions and minimizers u of the non-autonomous problems div A (x, D u)=
0 and min v∫ Ω F (x, D v) dx with quasi-isotropic (p, q)-growth. We consider the case that u …

Singular multiple integrals and nonlinear potentials - ScienceDirect Skip to main contentSkip to
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Second-order estimates are established for solutions to the p-Laplace system with right-
hand side in L 2. The nonlinear expression of the gradient under the divergence operator is …

The higher integrability of weak solutions of porous medium systems Skip to content Should
you have institutional access? Here's how to get it ... De Gruyter € EUR - Euro £ GBP - Pound …

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 …