We provide a general approach to Lipschitz regularity of solutions for a large class of vector-
valued, nonautonomous variational problems exhibiting nonuniform ellipticity. The …

This paper focuses on the study of multiplicity and concentration phenomena of positive
solutions for the singularly perturbed double phase problem with nonlocal Choquard …

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 …

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 …

In this paper we consider a mixed boundary value problem with a nonhomogeneous,
nonlinear differential operator (called a double phase operator), a nonlinear convection term …

This paper is concerned with the following singularly perturbed fractional double-phase
problem with unbalanced growth and competing potentials ϵ ps (-Δ) psu+ ϵ qs (-Δ) qsu+ V …

This paper is devoted to the study of the L∞-bound of solutions to the double-phase
nonlinear problem with variable exponent by the case of a combined effect of concave …

We consider a nonlinear elliptic Dirichlet equation driven by a double phase operator and a
Carathéodory (p-1)-linear reaction. First, we conduct a detailed spectral analysis of the …

We consider a double phase Dirichlet problem with both convex and nonconvex unilateral
constraints (variational-hemivariational inequality). Using variational techniques and tools …

We consider a nonautonomous (p, q)-equation with unbalanced growth and a reaction
which exhibits the combined effects of a parametric “concave"((p-1)-sublinear) term and of a …