We consider nonuniformly elliptic variational problems and give optimal conditions
guaranteeing the local Lipschitz regularity of solutions in terms of the regularity of the given …

Regularity Results for a Class of Functionals with Non-Standard Growth Page 1 Arch. Rational
Mech. Anal. 156 (2001) 121–140 Digital Object Identifier (DOI) 10.1007/s002050100117 …

Regularity of minima: An invitation to the dark side of the calculus of variations | SpringerLink
Skip to main content Advertisement SpringerLink Log in Menu Find a journal Publish with us …

We prove regularity theorems for minimizers of integral functionals of the Calculus of
Variations [Formula: see text] with non-standard growth conditions of (p, q) type [Formula …

We consider non-linear elliptic equations having a measure in the right-hand side, of the
type div a (x, Du)= µ, and prove differentiability and integrability results for solutions. New …

We show sharp local a priori estimates and regularity results for possibly degenerate non-
linear elliptic problems, with data not lying in the natural dual space. We provide a precise …

We consider regularity issues for minima of non-autonomous functionals in the Calculus of
Variations exhibiting non-uniform ellipticity features. We provide a few sharp regularity …

We consider a wide class of functionals with the property of changing their growth and
ellipticity properties according to the modulating coefficients in the framework of Musielak …

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

In the general vector-valued case N ≥ 1 N≥ 1, we prove the Lipschitz continuity of local
minimizers to some integrals of the calculus of variations of the form ∫ _ Ω g (x,| Du|)\, dx∫ …