Results 81 to 90 of about 128 (114)
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Variational, Hemivariational and Variational-Hemivariational Inequalities: Existence Results
2003The celebrated Hartman-Stampacchia theorem (see [6], Lemma 3.1, or [9], Theorem I.3.1) asserts that if V is a finite dimensional Banach space, K ⊂ V is non-empty, compact and convex, A : K → V* is continuous, then there exists u ∈ K such that, for every v ∈ K, $$\langle Au,v - u\rangle \geqslant 0.$$ (6.1)
D. Motreanu, V. Rădulescu
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Semicoercive variational hemivariational inequalities
Applicable Analysis, 1997The aim of this paper is the study of semicoercive variational hemivariational inequalities. For this study the critical point theory of Ambrosetti, Rabinowitz and Szulkin has been extended for nonsmooth functionals. Moreover, a Saddle Point Theorem and a symmetric version of the Mountain Pass Theorem have been used.
D. Goeleven +2 more
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Levitin–Polyak well-posedness of variational–hemivariational inequalities
Communications in Nonlinear Science and Numerical Simulation, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rong Hu +3 more
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Optimal Control of Elliptic Variational–Hemivariational Inequalities
Journal of Optimization Theory and Applications, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zijia Peng, Karl Kunisch
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Numerical analysis of stationary variational-hemivariational inequalities
Numerische Mathematik, 2018The authors are concerned with FEM solutions to stationary variational-hemivariational inequalities. They pay attention to the existence and uniqueness results for such inequalities, as well as to the rigorous formulation for the FEM in order to accurately solve them.
Weimin Han, Mircea Sofonea, David Danan
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The sub- and supersolution method for variational–hemivariational inequalities
Nonlinear Analysis: Theory, Methods & Applications, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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.
Yi-bin Xiao, Nan-Jing Huang
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Location Results for Variational–Hemivariational Inequalities
2015The chapter presents a general method, based on approximation of spaces and operators, to solve certain nonsmooth problems. The method allows us to obtain location properties of the solutions, for instance the inclusion of the solutions in prescribed sets.
Dumitru Motreanu +1 more
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Minimax Methods for Variational-Hemivariational Inequalities
1999The topic of this chapter is the critical point theory for the functionals that are not locally Lipschitz as was the case in Chatper 2. The setting is more general than in Chatper 2, and the results contain those in Chang [2]. In fact, this chapter presents an extension of Szulkin’s minimax principles [32] for functions of the form I = Φ + Ψ with Φ ∈ C
D. Motreanu, P. D. Panagiotopoulos
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On Regularity Results for Variational-Hemivariational Inequalities
2000The aim of the present paper is to investigate the regularity of the nonlinear term which results from the nonconvex part of the energy in variational-hemivariational inequalities. This term expresses the virtual work of the nonmonotone multivalued stress-strain or reaction-displacement law which gives rise to the variational-hemivariational inequality
Z. Naniewicz, P. D. Panagiotopoulos
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