Analysis of Stokes system with solution-dependent subdifferential boundary conditions
Fixed Point Theory and Algorithms for Sciences and Engineering, 2021 We study the Stokes problem for the incompressible fluid with mixed nonlinear boundary conditions of subdifferential type. The latter involve a unilateral boundary condition, the Navier slip condition, a nonmonotone version of the nonlinear Navier–Fujita
Jing Zhao +2 more
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Tykhonov well-posedness of elliptic variational-hemivariational inequalities
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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Existence and comparison results for variational-hemivariational inequalities
Journal of Inequalities and Applications, 2005 We consider a prototype of quasilinear elliptic variational-hemivariational inequalities involving the indicator function of some closed convex set and a locally Lipschitz functional.
Carl S
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Discontinuous Variational-Hemivariational Inequalities Involving the p-Laplacian
Journal of Inequalities and Applications, 2007 We deal with discontinuous quasilinear elliptic variational-hemivariational inequalities. By using the method of sub- and supersolutions and based on the results of S. Carl, we extend the theory for discontinuous problems.
Patrick Winkert
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Journal of Inequalities and Applications, 2016 This paper is dedicated to the introduction a new class of equilibrium problems named generalized multivalued equilibrium-like problems which includes the classes of hemiequilibrium problems, equilibrium-like problems, equilibrium problems ...
Vahid Dadashi, Abdul Latif
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Convergence Results for Elliptic Variational-Hemivariational Inequalities
Advances in Nonlinear Analysis, 2020 We consider an elliptic variational-hemivariational inequality 𝓟 in a reflexive Banach space, governed by a set of constraints K, a nonlinear operator A, and an element f.
Cai Dong-ling +2 more
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A new class of dual systems of fractional differential equations with hemivariational inequalities
Journal of Inequalities and ApplicationsThe main goal of this paper is to analyze and study a new class of dual abstract systems that consists of differential hemivariational inequalities systematized by an evolutionary hemivariational inequality accumulated with a fractional differential ...
Mohd Adnan +5 more
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Convergence of Rothe scheme for hemivariational inequalities of parabolic type
, 2012 This article presents the convergence analysis of a sequence of piecewise constant and piecewise linear functions obtained by the Rothe method to the solution of the first order evolution partial differential inclusion $u'(t)+Au(t)+\iota^*\partial J ...
Kalita, Piotr
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Existence and convergence theorems for evolutionary hemivariational inequalities of second order
Electronic Journal of Differential Equations, 2015 This article concerns with a class of evolutionary hemivariational inequalities in the framework of evolution triple. Based on the Rothe method, monotonicity-compactness technique and the properties of Clarke's generalized derivative and gradient, the
Zijia Peng, Cuie Xiao
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System of partial differential hemivariational inequalities involving nonlocal boundary conditions
Demonstratio MathematicaLet FPT, MNC, HVI, SEPDE, SMHVI, PGCDD, and NLBC represent the fixed point theorem, measure of noncompactness, hemivariational inequality, system of nonlinear evolutionary partial differential equations, system of mixed hemivariational inequalities ...
Ceng Lu-Chuan, Chen Boling, Yao Jen-Chih
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