Recent developments in problems with nonstandard growth and nonuniform ellipticity -
ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & Books Search …

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 …

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 the evolution problem associated with a convex integrand f: R^ Nn → 0, ∞)
satisfying a non-standard p, q-growth assumption. To establish the existence of solutions we …

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 study an anisotropic, possibly non-homogeneous version of the evolution 𝑝-Laplacian
equation when fast diffusion holds in all directions. We develop the basic theory and prove …

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× …

In this paper we introduce a purely variational approach to time dependent problems,
yielding the existence of global parabolic minimizers, that is∫ 0 T∫ Ω [u⋅∂ t φ+ f (x, D u)] …

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 …