Minimax Results with Respect to Different Altitudes in the Situation of Linking
Abstract and Applied Analysis, Volume 2013, Issue 1, 2013., 2013 Consider a continuous function on a metric space. In the presence of linking between a compact pair and a closed set, depending on the different behaviors of the function on the linking sets, we establish minimax results guaranteeing existence of Palais‐Smale sequences or providing gradient estimates. Our approach relies on deformation techniques.
V. V. Motreanu, Kanishka Perera
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A Quasistatic Contact Problem for Viscoelastic Materials with Slip‐Dependent Friction and Time Delay
Mathematical Problems in Engineering, Volume 2012, Issue 1, 2012., 2012 A mathematical model which describes an explicit time‐dependent quasistatic frictional contact problem between a deformable body and a foundation is introduced and studied, in which the contact is bilateral, the friction is modeled with Tresca’s friction law with the friction bound depending on the total slip, and the behavior of the material is ...
Si-sheng Yao +2 more
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General Comparison Principle for Variational-Hemivariational Inequalities [PDF]
Journal of Inequalities and Applications, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Carl Siegfried, Winkert Patrick
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Abstract and Applied Analysis, Volume 2012, Issue 1, 2012., 2012 We consider autonomous evolution inclusions and hemivariational inequalities with nonsmooth dependence between determinative parameters of a problem. The dynamics of all weak solutions defined on the positive semiaxis of time is studied. We prove the existence of trajectory and global attractors and investigate their structure.
Pavlo O. Kasyanov +3 more
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Existence of a nontrival solution for Dirichlet problem involving p(x)-Laplacian
, 2014 In this paper we study the nonlinear Dirichlet problem involving p(x)-Laplacian (hemivariational inequality) with nonsmooth potential. By using nonsmooth critical point theory for locally Lipschitz functionals due to Chang and the properties of ...
Barnaś, Sylwia
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An L1 Penalty Method for General Obstacle Problems [PDF]
, 2014 We construct an efficient numerical scheme for solving obstacle problems in divergence form. The numerical method is based on a reformulation of the obstacle in terms of an L1-like penalty on the variational problem.
Giang Tran +4 more
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Theory and Algorithms of Variational Inequality and Equilibrium Problems, and Their Applications
, 2014 Abstract and Applied Analysis, Volume 2014, Issue 1, 2014.
Xie-ping Ding +4 more
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Nonhomogeneous Hemivariational Inequalities with Indefinite Potential and Robin Boundary Condition
, 2017 We consider a nonlinear, nonhomogeneous Robin problem with an indefinite potential and a nonsmooth primitive in the reaction term. In fact, the right-hand side of the problem (reaction term) is the Clarke subdifferential of a locally Lipschitz integrand.
Papageorgiou, Nikolaos S. +2 more
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A class of elliptic quasi-variational–hemivariational inequalities with applications
Journal of Computational and Applied Mathematics, 2023 15p
Stanislaw Migórski +2 more
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Bounded perturbation resilience of extragradient-type methods and their applications [PDF]
, 2017 In this paper we study the bounded perturbation resilience of the extragradient and the subgradient extragradient methods for solving variational inequality (VI) problem in real Hilbert spaces. This is an important property of algorithms which guarantees
Dong, Qiao-Li +3 more
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