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Variational-hemivariational inequalities with nonhomogeneous Neumann boundary condition
Le Matematiche, 2010 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
doaj
A class of delay evolution hemivariational inequalities and optimal feedback controls
, 2018 In this paper, we study the feedback optimal control for a class of evolution hemivariational inequalities with delay. First, we obtain the existence of feasible pairs by applying the Cesari property, the Filippov theorem, the properties of Clarke ...
Liu, Zhenhai, Lu, Liang, Zhao, Jing
core
Variational-Hemivariational Inequalities with Applications
, 2017 Sofonea, Mircea, Migórski, Stanisław
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Existence result for hyperbolic hemivariational inequalities
Nonlinear Analysis: Theory, Methods & Applications, 2001 openaire +2 more sources
Numerical Analysis of Elliptic Hemivariational Inequalities
SIAM Journal on Numerical Analysis, 2017 This paper is devoted to a study of the numerical solution of elliptic hemivariational inequalities with or without convex constraints by the finite element method. For a general family of elliptic hemivariational inequalities that facilitates error analysis for numerical solutions, the solution existence and uniqueness are proved.
Weimin Han +2 more
exaly +5 more sources
Applied Mathematics Letters, 2020 Variational–hemivariational inequalities and hemivariational inequalities form a powerful mathematical tool in modeling and studying problems in science and engineering where non-smooth, non-monotone and multi-valued relations among different physical ...
Weimin Han +2 more
exaly +2 more sources
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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
exaly +2 more sources
A Revisit of Elliptic Variational-Hemivariational Inequalities
Numerical Functional Analysis and Optimization, 2021 In this paper, we provide an alternative approach to establish the solution existence and uniqueness for elliptic variational-hemivariational inequalities.
Weimin Han
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On the Optimal Control of Variational–Hemivariational Inequalities
Journal of Mathematical Analysis and Applications, 2019 The present paper represents a continuation of our previous one. There, a continuous dependence result for the solution of an elliptic variational-hemivariational inequality was obtained and then used to prove the existence of optimal pairs for two associated optimal control problems.
Yi-Bin Xiao, Mircea Sofonea
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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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