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 …

Inverse problems for generalized quasi-variational inequalities with application to elliptic mixed boundary value systems

J Cen, AA Khan, D Motreanu, S Zeng - Inverse Problems, 2022 - iopscience.iop.org
This paper investigates the inverse problem of estimating a discontinuous parameter in a
quasi-variational inequality involving multi-valued terms. We prove that a well-defined …

Sensitivity analysis of optimal control problems driven by dynamic history-dependent variational-hemivariational inequalities

Y Liu, Z Liu, NS Papageorgiou - Journal of Differential Equations, 2023 - Elsevier
The aim of this paper is to investigate a nonlinear optimal control problem governed by a
complicated dynamic variational-hemivariational inequality (DVHVI, for short) with history …

Nonsmooth dynamical systems: From the existence of solutions to optimal and feedback control

S Zeng, NS Papageorgiou, VD Rǎdulescu - Bulletin des Sciences …, 2022 - Elsevier
In this paper, we investigate a nonlinear and nonsmooth dynamics system (NNDS, for short)
involving two multi-valued maps which are a convex subdifferential operator and a …

Existence and convergence results for an elastic frictional contact problem with nonmonotone subdifferential boundary conditions

Y Liu, S Migórski, VT Nguyen, S Zeng - Acta Mathematica Scientia, 2021 - Springer
The goal of this paper is to study a mathematical model of a nonlinear static frictional contact
problem in elasticity with the mixed boundary conditions described by a combination of the …

[HTML][HTML] A new class of history-dependent quasi variational–hemivariational inequalities with constraints

S Migórski, Y Bai, S Zeng - … in Nonlinear Science and Numerical Simulation, 2022 - Elsevier
In this paper we consider an abstract class of time-dependent quasi variational–
hemivariational inequalities which involves history-dependent operators and a set of …

Shape derivative for penalty-constrained nonsmooth–nonconvex optimization: cohesive crack problem

VA Kovtunenko, K Kunisch - Journal of Optimization Theory and …, 2022 - Springer
A class of non-smooth and non-convex optimization problems with penalty constraints linked
to variational inequalities is studied with respect to its shape differentiability. The specific …

Some novel aspects of quasi variational inequalities

MA Noor, KI Noor - Earthline Journal of Mathematical …, 2022 - earthlinepublishers.com
Quasi variational inequalities can be viewed as novel generalizations of the variational
inequalities and variational principles, the origin of which can be traced back to Euler …

A new class of elliptic quasi-variational-hemivariational inequalities for fluid flow with mixed boundary conditions

S Migórski, S Dudek - Computers & Mathematics with Applications, 2021 - Elsevier
In this paper we study a class of quasi-variational-hemivariational inequalities in reflexive
Banach spaces. The inequalities contain a convex potential, a locally Lipschitz …

A time-fractional of a viscoelastic frictionless contact problem with normal compliance

M Bouallala, ELH Essoufi, VT Nguyen… - The European Physical …, 2023 - Springer
In this paper, we propose a new model of dynamic frictionless contact problem between a
viscoelastic body and a rigid foundation. The constitutive relation is modeled with the …