Nonlinear Measure Data Problems Page 1 Milan J. Math. Vol. 79 (2011) 429–496 DOI
10.1007/s00032-011-0168-1 Published online November 18, 2011 © 2011 Springer Basel AG …

Nonlinear Potential theory aims at replicating the classical linear potential theory when
nonlinear equations are considered. In recent years there has been a substantial …

Optimal second-order regularity in the space variables is established for solutions to Cauchy–
Dirichlet problems for nonlinear parabolic equations and systems of p-Laplacian type, with …

Calderón-Zygmund theory is classically a linear fact and amounts to get sharp integrability
and differentiability properties of solutions of linear equations depending on those of the …

We prove sharp Lorentz-and Morrey-space estimates for the gradient of solutions u to
nonlinear parabolic equations of the type ut− div a (z, Du)= g, on ΩT= Ω×(− T, 0), where the …

We establish a global Calderón–Zygmund theory of nonlinear parabolic equations with
measurable nonlinearities in divergence form by proving that the spatial gradient of a weak …

Fractional differentiability for elliptic measure data problems with variable exponents -
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We establish a global Calderón–Zygmund theory for the weak solution of the following p-
Laplacian system ut-div a (x, t)|∇ u| p-2∇ u=-div| F| p-2 F+ f in Ω T, u= 0 on∂ Ω×(0, T), u= u …

We consider a parabolic partial differential equation with Dirichlet boundary conditions and
measure or L 1 data. The key difficulty consists of the presence of a monotone operator A …

We study the higher differentiability of the very weak solution of the Cauchy–Dirichlet
problem associated to the linear parabolic system of the form∂ u∂ t− div (A (x, t) D u)= μ in …