Numerical analysis of hemivariational inequalities in contact mechanics

W Han, M Sofonea - Acta Numerica, 2019 - cambridge.org
Contact phenomena arise in a variety of industrial process and engineering applications.
For this reason, contact mechanics has attracted substantial attention from research …

[图书][B] Variational-hemivariational inequalities with applications

M Sofonea, S Migorski - 2017 - taylorfrancis.com
This research monograph represents an outcome of the cross-fertilization between
nonlinear functional analysis and mathematical modelling, and demonstrates its application …

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 …

Nonlinear quasi-hemivariational inequalities: existence and optimal control

S Zeng, S Migórski, AA Khan - SIAM Journal on Control and Optimization, 2021 - SIAM
In this paper, we investigate a generalized nonlinear quasi-hemivariational inequality (QHI)
involving a multivalued map in a Banach space. Under general assumptions, by using a …

Existence results for double phase implicit obstacle problems involving multivalued operators

S Zeng, Y Bai, L Gasiński, P Winkert - Calculus of Variations and Partial …, 2020 - Springer
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 …

Generalized penalty and regularization method for differential variational-hemivariational inequalities

Z Liu, D Motreanu, S Zeng - SIAM Journal on Optimization, 2021 - SIAM
The primary objective of this paper is to study a large class of differential variational-
hemivariational inequalities involving history-dependent operators and constraints in a …

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 …

New discussion regarding approximate controllability for Sobolev-type fractional stochastic hemivariational inequalities of order r∈(1, 2)

C Dineshkumar, R Udhayakumar… - … in Nonlinear Science …, 2023 - Elsevier
In this paper, we deal with the approximate controllability of Sobolev-type fractional
stochastic evolution hemivariational inequalities of order r∈(1, 2). Firstly, by using stochastic …

Quantum yang-mills theory

A Jaffe, E Witten - The millennium prize problems, 2006 - books.google.com
Since the early part of the 20th century, it has been understood that the description of nature
at the subatomic scale requires quantum mechanics. In quantum mechanics, the position …

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 …