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A new class of double phase variable exponent problems: existence and uniqueness
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 …
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
The objective of the paper is to investigate a dynamical system called a differential
variational-hemivariational inequality (DVHVI) which couples an abstract variational …
variational-hemivariational inequality (DVHVI) which couples an abstract variational …
Double phase implicit obstacle problems with convection and multivalued mixed boundary value conditions
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 …
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 …
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
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 …
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 …
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 …
which exhibits the combined effects of a parametric “concave"((p-1)-sublinear) term and of a …
On double phase Kirchhoff problems with singular nonlinearity
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 …
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 …
phase operator and a right-hand side that contains a parametric term and a superlinear …
An existence result for singular Finsler double phase problems
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 …
spaces in terms of Finsler manifolds and with right-hand sides that allow a certain type of …