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Singular Perturbations of Variational-Hemivariational Inequalities

SIAM Journal on Mathematical Analysis, 2020
Let $V_i$, $i=0,1$, be a reflexive Banach space and $K_i$ be a closed and convex subset of $V_i$. It is assumed that $V_1$ is continuously and densely embedded in $V_0$, and $K_1$ is the closure of $K_0$ in $V_0$. Two operators $A_i:V_i\to V_i^*$ are introduced such that \[ \|A_i u-A_i v\|_{V_i^*}\leq L_i \|u-v\|_{V_i},\forall u,v\in V_i\,.
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Evolutionary Inclusions and Hemivariational Inequalities

2012
In this chapter we study evolutionary inclusions of second order. These are multivalued relations which involve the second-order time derivative of the unknown. We start with a basic existence result for such inclusions. Then we provide results on existence and uniqueness of solutions to evolutionary inclusions of the subdifferential type, i.e ...
Migórski, Stanisław   +2 more
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Bifunction hemivariational inequalities

Journal of Applied Mathematics and Computing, 2010
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Noor, Muhammad Aslam   +2 more
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Finite Element Approximation of Hemivariational Inequalities

Journal of Global Optimization, 2000
This paper analyzes a finite element approximation of elliptic and parabolic hemivariational inequalities. Firstly, the authors define a general setting which allows to consider the elliptic hemivariational inequalities of scalar type and to prove some existence results.
Jaroslav Haslinger, Markku Miettinen
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A parabolic hemivariational inequality

Nonlinear Analysis: Theory, Methods & Applications, 1996
A quasilinear nonmonotone parabolic initial boundary value problem of the form \[ u'(t)+Au(t)+\Sigma(t)=f(t), \quad u(0)=u_0, \quad \Sigma(x,t)\in\widehat{b} (u(x,t)) \quad\text{a.e. }(x,t)\in Q_T, \] is considered taking into account the existence of its solutions. This is a generalization of stationary hemivariational inequalities to the dynamic case
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Perturbations of Hemivariational Inequalities with Constraints and Applications

Journal of Global Optimization, 1998
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Vicentiu D. Radulescu   +1 more
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Hemivariational inequalities with competing operators

Communications in Nonlinear Science and Numerical Simulation
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Boundary Stabilization of Hyperbolic Hemivariational Inequalities

Acta Applicandae Mathematicae, 2008
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Park, Sun Hye   +2 more
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On a class of nonlinear variational–hemivariational inequalities

Applicable Analysis, 2004
A three critical points theorem for nondifferentiable functions is pointed out and an existence result of multiple solutions for a Neumann elliptic variational–hemivariational inequality involving the p-laplacian is established. As an application, a Neumann problem for elliptic equations with discontinuous nonlinearities is studied.
BONANNO, Gabriele, CANDITO P.
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Existence theorems of the variational-hemivariational inequalities

Journal of Global Optimization, 2012
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Guo-ji Tang, Nan-Jing Huang
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