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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 ...
Migorski, Stanislaw   +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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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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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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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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On a Generalized Hemivariational Inequality on Banach Spaces

Results in Mathematics, 2018
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Ana-Maria Croicu, József Kolumbán
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Static Hemivariational Inequalities

1993
In the present chapter we study static hemivariational inequalities concerning the existence of their solutions. Some approximation results are also given. We distinguish the coercive and the more difficult semicoercive case where the rigid body displacements play an important role.
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