In this paper we introduce a new class of quasilinear elliptic equations driven by the so-
called double phase operator with variable exponents. We prove certain properties of the …

In this paper we study implicit obstacle problems driven by a nonhomogenous differential
operator, called double phase operator, and a multivalued term which is described by …

By variational method, we obtain various existence and multiplicity results for the following
double phase problem {− div (|∇ u| p− 2∇ u+ a (x)|∇ u| q− 2∇ u)= f (x, u) in Ω, u= 0 on∂ Ω …

We study an eigenvalue problem in the framework of double phase variational integrals, and
we introduce a sequence of nonlinear eigenvalues by a minimax procedure. We establish a …

In this paper we consider quasilinear elliptic equations with double phase phenomena and
a reaction term depending on the gradient. Under quite general assumptions on the …

We study parametric double phase problems involving superlinear nonlinearities with a
growth that need not necessarily be polynomial. Based on truncation and comparison …

In this paper we study quasilinear elliptic equations driven by the so-called double phase
operator and with a nonlinear boundary condition. Due to the lack of regularity, we prove the …

In this paper, we study a class of singular double phase problems defined on Minkowski
spaces in terms of Finsler manifolds and with right-hand sides that allow a certain type of …

Existence results for double-phase problems via Morse theory Page 1 Communications in
Contemporary Mathematics Vol. 20, No. 2 (2018) 1750023 (14 pages) c© World Scientific …

The main goal of this paper is the study of an elliptic obstacle problem with a double phase
phenomena and a multivalued reaction term which also depends on the gradient of the …