… We consider a class of double phase variational integrals driven by nonhomogeneous
potentials. We study the associated Euler equation and we highlight the existence of two different …

… The main goal of our paper is to prove the existence of at least one weak solution of problem
(1.1… a double phase operator driven by the Baouendi–Grushin operator with variable growth …

… of double phase problems with variable growth. The main feature of our paper is the study
of a class of unbalanced double phase problems with variable coefficient. This problem is …

… of double-phase problems is given in [38]. In the last years, the double-phase stationary
problems … on the counterpart evolution problems with nonlinear sources of the variable growth. …

… solutions to the homogeneous Dirichlet problem for the double phase equation with operators
of variable growth: ut − div (|∇u|p(z)−2∇u + a(z)|∇u|q(z)−2∇u) = F(z,u) in QT = Ω × (0,T) …

… and variational problems with variable exponent growth conditions have been an … problems
with variable exponent growth conditions. Far from being complete, we refer the readers to [2…

… isotropic double phase problems (… double phase problems and the recent article of Mingione
and Radulescu [35] concerning recent developments for problems with nonstandard growth …

… Based on these results, we consider generalized double phase problems involving such
new type of growth with Dirichlet and nonlinear boundary condition and prove appropriate …

… following variable exponent double phase Dirichlet problem … ( x ) − 2 ∇ u + μ ( x ) | ∇ u | q
( x ) − 2 ∇ u = λ | u | p − − 2 u − f ( … exponent double phase problems with balanced growth we …

… Later on, problems involving the double phase … of the double phase problems, they remain
the subject of active research. On the one hand, the study of equations with the double phase …