Abstract We investigate the De Giorgi-Nash-Moser theory for minimizers of mixed local and
nonlocal functionals modeled after v↦∫ R n∫ R n| v (x)− v (y)| p| x− y| n+ spdxd y+∫ Ω a …

We study weak solutions and minimizers u of the non-autonomous problems div A (x, D u)=
0 and min v∫ Ω F (x, D v) dx with quasi-isotropic (p, q)-growth. We consider the case that u …

An embedding theorem for Sobolev spaces built upon general Musielak-Orlicz norms is
offered. These norms are defined in terms of generalized Young functions which also …

Infinitely many low‐ and high‐energy solutions for double‐phase problems with variable
exponent Page 1 Received: 26 June 2023 Revised: 17 June 2024 Accepted: 17 October 2024 …

We establish Hardy-Sobolev inequalities in the unit ball $\mathbf {B} $ in the framework of
general double phase functionals given by\[\varphi_p (x, t)=\varphi_1 (t^ p)+\varphi_2 ((b (x) …

Motivated by the image denoising problem and the undesirable stair-casing effect of the total
variation method, we introduce bounded variation spaces with generalized Orlicz growth …

The main objective of this paper is to study a class of parabolic equation driven by double
phase operator with initial-boundary value conditions. As is well known, subcritical …

In this paper, we mainly prove the existence of (weak) solutions of an inclusion problem with
the Dirichlet boundary condition of the following form: L∈ A (x, u, Du)+ F (x, u, Du), in Ω, and …

We establish Trudinger-type inequalities for variable Riesz potentials J./; f of functions f in
Musielak–Orlicz–Morrey spaces of an integral form over metric measure spaces X. As an …