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On some elliptic hemivariational and variational–hemivaritional inequalities
Nonlinear Analysis: Theory, Methods & Applications, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
MARANO, Salvatore Angelo +1 more
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A parabolic hemivariational inequality
Nonlinear Analysis: Theory, Methods & Applications, 1996A 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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Semicoercive variational hemivariational inequalities
Journal of Global Optimization, 1995The authors have introduced a concept of recession function associated to the Clarke generalized directional derivative of a locally Lipschitz function. Using this concept, some new necessary and sufficient conditions for the existence of a general hemivariational inequality problem are given.
Goeleven, Daniel, Théra, Michel
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Well-posed hemivariational inequalities
Numerical Functional Analysis and Optimization, 1995This paper aims to present some basic results concerning the well-posedness in hemi-variational inequalities, that is a variational formulation introduced by P.D. Panagiotopoulos in order to describe the behavior of several complex structures in mechanics.
D. Goeleven, D. Mentagui
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Static Hemivariational Inequalities
1993In 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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Variational, Hemivariational and Variational-Hemivariational Inequalities: Existence Results
2003The celebrated Hartman-Stampacchia theorem (see [6], Lemma 3.1, or [9], Theorem I.3.1) asserts that if V is a finite dimensional Banach space, K ⊂ V is non-empty, compact and convex, A : K → V* is continuous, then there exists u ∈ K such that, for every v ∈ K, $$\langle Au,v - u\rangle \geqslant 0.$$ (6.1)
D. Motreanu, V. Rădulescu
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Dynamic Hemivariational Inequalities and Their Applications
Journal of Optimization Theory and Applications, 1999zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Goeleven, D. +2 more
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Hemivariational Inequalities and Hysteresis
2001Hemivariational inequalities introduced by P.D. Panagiotopoulos are generalizations of variational inequalities. This type of inequality problems arises, e.g. in variational formulation of mechanical problems whenever nonmonotone and multivalued relations or nonconvex energy functions are involved.
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