We prove sharp regularity results for a general class of functionals of the type w ↦ ∫ F (x, w, Dw)\, dx, w↦∫ F (x, w, D w) dx, featuring non-standard growth conditions and non-uniform …
We provide a general approach to Lipschitz regularity of solutions for a large class of vector- valued, nonautonomous variational problems exhibiting nonuniform ellipticity. The …
L Beck, G Mingione - Communications on Pure and Applied …, 2020 - Wiley Online Library
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 …
P Marcellini - Nonlinear Analysis, 2023 - Elsevier
This article is dedicated to Emmanuele Di Benedetto, great mathematician, colleague, friend. In the spirit to treat a subject that in the last years attracted the interest of several …
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 …
Nonuniformly elliptic Schauder theory | Inventiones mathematicae Skip to main content SpringerLink Account Menu Find a journal Publish with us Track your research Search Cart …
A borderline case of Calderón–Zygmund estimates for nonuniformly elliptic problems Page 1 Algebra i analiz St. Petersburg Math. J. Tom 31 (2019), 3 Vol. 31 (2020), No. 3, Pages 455–477 …
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 …