Mathematics, 2023 In this work, we used reflexive Banach spaces to study the differential variational—hemivariational inequality problems with constraints. We established a sequence of perturbed differential variational–hemivariational inequality problems with perturbed ...
Shih-Sen Chang +4 more
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A class of hyperbolic variational–hemivariational inequalities without damping terms [PDF]
Advances in Nonlinear Analysis, 2022 In this article, we study a large class of evolutionary variational–hemivariational inequalities of hyperbolic type without damping terms, in which the functional framework is considered in an evolution triple of spaces.
Zeng Shengda +2 more
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Monotonicity Arguments for Variational–Hemivariational Inequalities in Hilbert Spaces
Axioms, 2022 We consider a variational–hemivariational inequality in a real Hilbert space, which depends on two parameters. We prove that the inequality is governed by a maximal monotone operator, then we deduce various existence, uniqueness and equivalence results ...
Mircea Sofonea
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Well-Posedness for a Class of Strongly Mixed Variational-Hemivariational Inequalities with Perturbations [PDF]
Journal of Applied Mathematics, 2012 The concept of well-posedness for a minimization problem is extended to develop the concept of well-posedness for a class of strongly mixed variational-hemivariational inequalities with perturbations which includes as a special case the class of ...
Lu-Chuan Ceng +2 more
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A Class of Variational–Hemivariational Inequalities for Bingham Type Fluids [PDF]
Applied Mathematics & Optimization, 2022 AbstractIn this paper we investigate a new class of elliptic variational–hemivariational inequalities without the relaxed monotonicity condition of the generalized subgradient. The inequality describes the mathematical model of the steady state flow of incompressible fluid of Bingham type in a bounded domain.
Migórski, Stanisław, Dudek, Sylwia
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On the well-posedness of differential quasi-variational-hemivariational inequalities
Open Mathematics, 2020 The goal of this paper is to discuss the well-posedness and the generalized well-posedness of a new kind of differential quasi-variational-hemivariational inequality (DQHVI) in Hilbert spaces.
Cen Jinxia +3 more
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Existence results and applications for general variational-hemivariational inequalities on unbounded domains [PDF]
Electronic Journal of Differential Equations, 2009 In this paper we give an existence result for a class of variational-hemivariational inequality on unbounded domain using the mountain pass theorem and the principle of symmetric criticality for Motreanu-Panagiotopoulos type functionals.
Ildiko-Ilona Mezei, Lia Saplacan
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Tykhonov well-posedness of elliptic variational-hemivariational inequalities [PDF]
Electronic Journal of Differential Equations, 2019 We consider a class of elliptic variational-hemivariational inequalities in an abstract Banach space for which we introduce the concept of well-posedness in the sense of Tykhonov.
Mircea Sofonea, Yi-Bin Xiao
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A Penalty Method for Elliptic Variational–Hemivariational Inequalities
AxiomsWe consider an elliptic variational–hemivariational inequality P in a real reflexive Banach space, governed by a set of constraints K. Under appropriate assumptions of the data, this inequality has a unique solution u∈K.
Mircea Sofonea, Domingo A. Tarzia
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Existence of projected solutions for quasi-variational hemivariational inequality
Demonstratio MathematicaIn this short article, we prove the existence of projected solutions to a class of quasi-variational hemivariational inequalities with non-self-constrained mapping, which generalizes the results of Allevi et al.
Guan Fei +3 more
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