Definition 1 implies that local minimisers are automatically in W 1, p loc (Ω). We immediately
say that since all the regularity properties of local minimisers treated in this paper are local in …

Regularity of minima: An invitation to the dark side of the calculus of variations | SpringerLink
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Gradient estimates via non-linear potentials Page 1 Gradient estimates via non-linear
potentials Frank Duzaar, Giuseppe Mingione American Journal of Mathematics, Volume 133 …

We settle the longstanding problem of establishing pointwise potential estimates for vectorial
solutions u:→ RN to the non-homogeneous p-Laplacean system− div (| Du| p− 2 Du)= µ in⊂ …

We prove new potential and nonlinear potential pointwise gradient estimates for solutions to
measure data problems, involving possibly degenerate quasilinear operators whose …

We consider the problem of minimizing variational integrals defined on nonlinear Sobolev
spaces of competitors taking values into the sphere. The main novelty is that the underlying …

We establish a series of optimal regularity results for solutions to general non-linear
parabolic systems\[u_t-\mathrm {div}\a (x, t, u, Du)+ H= 0\,,\] under the main assumption of …

Everywhere regularity of functionals with ϕ-growth Page 1 manuscripta math. 129, 449–481
(2009) © Springer-Verlag 2009 Lars Diening · Bianca Stroffolini · Anna Verde Everywhere …

This book discusses advances in maximal function methods related to Poincaré and
Sobolev inequalities, pointwise estimates and approximation for Sobolev functions, Hardy's …

We study properties of Lipschitz truncations of Sobolev functions with constant and variable
exponent. As non-trivial applications we use the Lipschitz truncations to provide a simplified …