Recent developments in problems with nonstandard growth and nonuniform ellipticity -
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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 …

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 …

The class of non-autonomous functionals under study is characterized by the fact that the
energy density changes its ellipticity and growth properties according to the point; some …

Anisotropic and inhomogeneous spaces, which are at the core of the present study, may
appear exotic at first. However, the reader should abandon this impression once they realize …

Maximal regularity for local minimizers of non-autonomous functionals Page 1 © 2021
European Mathematical Society Published by EMS Press. This work is licensed under a CC BY …

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⊂ …

Abstract The Musielak–Orlicz setting unifies variable exponent, Orlicz, weighted Sobolev,
and double-phase spaces. They inherit technical difficulties resulting from general growth …

We prove a maximal differentiability and regularity result for solutions to nonlinear measure
data problems. Specifically, we deal with the limiting case of the classical theory of Calderón …