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 …

Modular density of smooth functions in inhomogeneous and fully anisotropic Musielak–Orlicz–Sobolev
spaces - ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & Books …

Lipschitz regularity for orthotropic functionals with nonstandard growth conditions Page 1 Rev.
Mat. Iberoam. 36 (2020), no. 7, 1989–2032 doi 10.4171/rmi/1189 c European Mathematical …

We establish the absence of the Lavrentiev gap between Sobolev and smooth maps for a
non-autonomous variational problem of a general structure, where the integrand is assumed …

Gradient bounds for solutions to irregular parabolic equations with (p, q)-growth | Calculus of
Variations and Partial Differential Equations Skip to main content SpringerLink Account Menu …

We introduce a new quantification of nonuniform ellipticity in variational problems via convex
duality, and prove higher differentiability and 2 d-smoothness results for vector valued …

Minima of the log-multiphase variational integral $$ w\mapsto\int_ {\Omega}\left [| Dw|\log
(1+| Dw|)+ a (x)| Dw|^ q+ b (x)| Dw|^ s\right]\,{\rm d} x\,, $$ have locally H\" older continuous …

Nonlinear Potential theory aims at replicating the classical linear potential theory when
nonlinear equations are considered. In recent years there has been a substantial …

We investigate a class of quasi-linear elliptic and parabolic anisotropic problems with
variable exponents over a general class of bounded non-smooth domains, which may …

arXiv:2107.04898v1 [math.AP] 10 Jul 2021 Page 1 arXiv:2107.04898v1 [math.AP] 10 Jul 2021
OPTIMAL GRADIENT ESTIMATES FOR MULTI-PHASE INTEGRALS CRISTIANA DE FILIPPIS …