Tykhonov well-posedness of elliptic variational-hemivariational inequalities
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
doaj
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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Existence and comparison results for variational-hemivariational inequalities
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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Convergence Results for Elliptic Variational-Hemivariational Inequalities
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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Convergence of Rothe scheme for hemivariational inequalities of parabolic type
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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A new class of dual systems of fractional differential equations with hemivariational inequalities
The 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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Existence and convergence theorems for evolutionary hemivariational inequalities of second order
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
Let 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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Nontrivial Solutions for Resonant Hemivariational Inequalities
This paper deals with resonant semilinear elliptic problems with a non-smooth potential (hemivariational inequalities) of the type: \(-\Delta x(z)-\lambda_k x(z)\in\partial j(z,x(z))\) for a.a. \(z\in Z\) \(x |_{\partial Z}=0\) where \(Z\) is a bounded smooth domain in \(\mathbb{R}^N\), and \(\lambda=2\) is an eigenvalue of \((-\Delta,H_0^1(Z ...
Denkowski, Zdzisław +2 more
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Hamilton's Principle as Variational Inequality forMechanical Systems with Impact [PDF]
The classical form of Hamilton's principle holds for conservative systems with perfect bilateral constraints. Several attempts have been made in literature to generalise Hamilton's principle for mechanical systems with perfect unilateral constraints ...
Aeberhard, U., Glocker, C., Leine, R.
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