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A Variational-Hemivariational Inequality in Contact Mechanics
, 2017 This chapter deals with a new mathematical model for the frictional contact between an elastic body and a rigid foundation covered by a deformable layer made of soft material. We study the model in the form of a variational-hemivariational inequality for the displacement field.
Sofonea, Mircea +2 more
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Sensitivity of Optimal Solutions to Control Problems for Second Order Evolution Subdifferential Inclusions. [PDF]
Appl Math Optim, 2015 Bartosz K, Denkowski Z, Kalita P.
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On a class of variational-hemivariational inequalities
, 2002 Summary: In this paper we consider a class of variational-hemivariational inequalities. We use the critical point theory for nonsmooth functionals due to \textit{D. Motreanu} and \textit{P. D. Panagiotopoulos} [``Minimax theorems and qualitative properties of the solutions of hemivariational inequalities'' (1999; Zbl 1060.49500)].
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Variational-Hemivariational Inequalities with Applications
, 2017 Sofonea, Mircea, Migórski, Stanisław
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On stochastic subdifferential systems driven by standard Brownian motion [PDF]
, 2016 Zhao, Jing
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A variational inequality involving nonlocal elliptic operators [PDF]
, 2015 Mingqi Xiang
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Generalized Variational-hemivariational Inequalities in Fuzzy Environment
, 2021 Zeng, Shengda +3 more
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Identification of operators in systems governed by second order evolution inclusions with applications to hemivariational inequalities [PDF]
, 2012 Migórski, Stanisław
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International Journal of Mathematics and Mathematical Sciences, 2005 S. Carl, Vy K. Le, D. Motreanu
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Singular Perturbations of Variational-Hemivariational Inequalities
SIAM Journal on Mathematical Analysis, 2020Let $V_i$, $i=0,1$, 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\,.
Weimin Han
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