We give a new proof of the small excess regularity theorems for integer multiplicity recti able currents of arbitrary dimension and codimension minimizing an elliptic parametric variational integral.â€¦ (More)

We present pointwise gradient bounds for solutions to p-Laplacean type non-homogeneous equations employing non-linear Wolff type potentials, and then prove similar bounds, via suitable caloricâ€¦ (More)

In this paper we introduce a purely variational approach to the gradient flows, naturally arising in image denoising models, yielding the existence of global parabolic minimizers, in the sense that âˆ«â€¦ (More)

We present pointwise gradient bounds for solutions to p-Laplacean type non-homogeneous equations employing non-linear Wolff type potentials, and then prove similar bounds, via suitable caloricâ€¦ (More)

We consider almost minimizers of variational integrals whose integrands are quasiconvex. Under suitable growth conditions on the integrand and on the function determining the almost minimality, weâ€¦ (More)

We present pointwise gradient bounds for solutions to p-Laplacean type non-homogeneous equations employing non-linear Wolff type potentials, and then prove similar bounds, via suitable caloricâ€¦ (More)