Results 111 to 120 of about 1,419 (140)

Eigenvalue Problems for Hemivariational Inequalities

Set-Valued Analysis, 2008
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Papageorgiou, Nikolaos, Santos, Sandrina Rafaela Andrade, Staicu, Vasile   +2 more
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Hemivariational inequalities

Journal of Applied Mathematics and Computing, 2005
Some iterative schemes are proposed for hemivariational inequalities. In the formulation of the hemivariational inequality problem, the author does not make clear the connection between the given Hilbert space \(H\) and the open bounded subset \(\Omega\) of \(R^N\) over which the integral is considered.
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Hysteresis and Hemivariational Inequalities: Semilinear Case

Journal of Global Optimization, 1998
The authors study a semilinear parabolic boundary value problem with a continuous hysteresis operator. The formulation of the problem leads to a hemivariational inequality. This fact has a strong physical motivation allowing mechanical laws which contain nonmonotone discontinuities.
Miettinen, M., Panagiotopoulos, P. D.
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Boundary Stabilization of Hyperbolic Hemivariational Inequalities

Acta Applicandae Mathematicae, 2008
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Park, Sun Hye, Park, Jong Yeoul, Jeong, Jin Mun   +2 more
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Semicoercive variational hemivariational inequalities

Applicable Analysis, 1997
The aim of this paper is the study of semicoercive variational hemivariational inequalities. For this study the critical point theory of Ambrosetti, Rabinowitz and Szulkin has been extended for nonsmooth functionals. Moreover, a Saddle Point Theorem and a symmetric version of the Mountain Pass Theorem have been used.
D. Goeleven, D. Motreanu, P. D. Panagiotopoulos   +2 more
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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, Ochal, Anna, Sofonea, Mircea   +2 more
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On some elliptic hemivariational and variational–hemivaritional inequalities

Nonlinear Analysis: Theory, Methods & Applications, 2005
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MARANO, Salvatore Angelo, PAPAGEORGIOU N. S.   +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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Semicoercive variational hemivariational inequalities

Journal of Global Optimization, 1995
The 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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