A penalty method for history-dependent variational–hemivariational inequalities
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Sofonea, Mircea +2 more
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Convergence of Rothe scheme for hemivariational inequalities of parabolic type
This article presents the convergence analysis of a sequence of piecewise constant and piecewise linear functions obtained by the Rothe method to the solution of the first order evolution partial differential inclusion $u'(t)+Au(t)+\iota^*\partial J ...
Kalita, Piotr
core
Some remark on a recent critical point result of nonsmooth Analysis
The aim of this paper is to investigate some consequences of a nonsmooth version, established in [13], of Ghoussoub’s general min-max principle [8, Theorem 1]. An application to a class of elliptic variational-hemivariational inequalities is also pointed
Giovanni Molica Bisci
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A Penalty Method for Elliptic Variational–Hemivariational Inequalities
We consider an elliptic variational–hemivariational inequality P in a real reflexive Banach space, governed by a set of constraints K. Under appropriate assumptions of the data, this inequality has a unique solution u∈K.
Mircea Sofonea, Domingo A. Tarzia
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Hamilton's Principle as Variational Inequality forMechanical Systems with Impact [PDF]
The classical form of Hamilton's principle holds for conservative systems with perfect bilateral constraints. Several attempts have been made in literature to generalise Hamilton's principle for mechanical systems with perfect unilateral constraints ...
Aeberhard, U., Glocker, C., Leine, R.
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Characterizations of $alpha$-well-posedness for parametric quasivariational inequalities defined by bifunctions [PDF]
The purpose of this paper is to investigate the well-posedness issue of parametric quasivariational inequalities defined by bifunctions. We generalize the concept of $alpha$-well-posedness to parametric quasivariational inequalities having a unique ...
Nan-Jing Huang, Rong Hu, Ya-Ping Fang
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Existence and Uniqueness of Weak Solutions to Frictionless-Antiplane Contact Problems
We investigate a quasi-static-antiplane contact problem, examining a thermo-electro-visco-elastic material with a friction law dependent on the slip rate, assuming that the foundation is electrically conductive. The mechanical problem is represented by a
Besma Fadlia +2 more
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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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Discontinuous Variational-Hemivariational Inequalities Involving the
We deal with discontinuous quasilinear elliptic variational-hemivariational inequalities. By using the method of sub- and supersolutions and based on the results of S. Carl, we extend the theory for discontinuous problems.
Winkert Patrick
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In this paper we give an existence result for a class of variational-hemivariational inequality on unbounded domain using the mountain pass theorem and the principle of symmetric criticality for Motreanu-Panagiotopoulos type functionals.
Ildiko-Ilona Mezei, Lia Saplacan
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