A new class of double phase variable exponent problems: existence and uniqueness

Á Crespo-Blanco, L Gasiński, P Harjulehto… - Journal of Differential …, 2022 - Elsevier
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 …

Well-posedness, optimal control, and sensitivity analysis for a class of differential variational-hemivariational inequalities

S Zeng, S Migórski, Z Liu - SIAM Journal on Optimization, 2021 - SIAM
The objective of the paper is to investigate a dynamical system called a differential
variational-hemivariational inequality (DVHVI) which couples an abstract variational …

Double phase implicit obstacle problems with convection and multivalued mixed boundary value conditions

S Zeng, VD Rădulescu, P Winkert - SIAM Journal on Mathematical Analysis, 2022 - SIAM
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 …

Existence and multiplicity of solutions to concave–convex-type double-phase problems with variable exponent

IH Kim, YH Kim, MW Oh, S Zeng - Nonlinear Analysis: Real World …, 2022 - Elsevier
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 …

Sign changing solution for a double phase problem with nonlinear boundary condition via the Nehari manifold

L Gasiński, P Winkert - Journal of Differential Equations, 2021 - Elsevier
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 …

Double phase Dirichlet problems with unilateral constraints

Z Liu, NS Papageorgiou - Journal of Differential Equations, 2022 - Elsevier
We consider a double phase Dirichlet problem with both convex and nonconvex unilateral
constraints (variational-hemivariational inequality). Using variational techniques and tools …

Solutions with sign information for noncoercive double phase equations

NS Papageorgiou, J Zhang, W Zhang - The Journal of Geometric Analysis, 2024 - Springer
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 …

On double phase Kirchhoff problems with singular nonlinearity

R Arora, A Fiscella, T Mukherjee… - Advances in Nonlinear …, 2023 - degruyter.com
In this paper, we study multiplicity results for double phase problems of Kirchhoff type with
right-hand sides that include a parametric singular term and a nonlinear term of subcritical …

Constant sign solutions for double phase problems with variable exponents

F Vetro, P Winkert - Applied Mathematics Letters, 2023 - Elsevier
In this paper we study quasilinear elliptic equations driven by the variable exponent double
phase operator and a right-hand side that contains a parametric term and a superlinear …

An existence result for singular Finsler double phase problems

C Farkas, P Winkert - Journal of Differential Equations, 2021 - Elsevier
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 …