Recent developments in problems with nonstandard growth and nonuniform ellipticity -
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We describe some aspects of the process/approach to interior regularity of weak solutions to
a class of nonlinear elliptic equations in divergence form, as well as of minimizers of …

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 …

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 prove the density of smooth functions in the modular topology in Musielak–Orlicz–
Sobolev spaces essentially extending the results of Gossez [17] obtained in the Orlicz …

We study the homogeneous Dirichlet problem for the parabolic equations ut− div (A (z,∣∇
u∣)∇ u)= F (z, u,∇ u), z=(x, t)∈ Ω×(0, T), with the double phase flux A (z,∣∇ u∣)∇ …

This paper deals with existence and regularity in variational problems related to partial
differential equations and systems-both in the elliptic and in the parabolic contexts-and to …

We show local Hölder continuity of quasiminimizers of functionals with non-standard
(Musielak–Orlicz) growth. Compared with previous results, we cover more general …

We consider variational solutions to the Cauchy-Dirichlet problem∂ tu= div D ξ f (x, u, D u)−
D uf (x, u, D u) in Ω T u= u 0 on∂ par Ω T where the function f= fx, u, ξ, f: R n× RN× RN× …