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Variational-hemivariational inequalities with nonhomogeneous Neumann boundary condition
The aim of this paper is the study of variational-hemivariational inequalities with nonhomogeneous Neumann boundary condition. Sufficient conditions for the existence of a whole sequence of solutions which is either unbounded or converges to zero are ...
Dumitru Motreanu, Patrick Winkert
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A Variational-Hemivariational Inequality in Contact Mechanics
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]
Bartosz K, Denkowski Z, Kalita P.
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Fractional Differential Variational-Hemivariational Inequalities
Abstract In this present work, we will examine the unique solvability and Mittag-Leffler global stability of solution mild for a novel category of fractional differential variational-hemivariational inequalities (FDVHI) through fixed point theory and Gronwall inequality in Banach space.
J. Vanterler da C. Sousa +3 more
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Variational-Hemivariational Inequalities with Applications
Sofonea, Mircea, Migórski, Stanisław
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On a class of variational-hemivariational inequalities
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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Generalized Variational-hemivariational Inequalities in Fuzzy Environment
Zeng, Shengda +3 more
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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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Well-posedness for a Class of Variational–Hemivariational Inequalities with Perturbations
Journal of Optimization Theory and Applications, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nan-Jing Huang +2 more
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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.
Daniel Goeleven, Michel Théra
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