On Neumann hemivariational inequalities [PDF]
Abstract and Applied Analysis, 2002 We derive a nontrivial solution for a Neumann noncoercive hemivariational inequality using the critical point theory for locally Lipschitz functionals. We use the Mountain-Pass theorem due to Chang (1981).
Halidias Nikolaos
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Existence result for hemivariational inequality involving p(x)-Laplacian [PDF]
Opuscula Mathematica, 2012 In this paper we study the nonlinear elliptic problem with \(p(x)\)-Laplacian (hemivariational inequality).We prove the existence of a nontrivial solution.
Sylwia Barnaś
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Well-Posedness by Perturbations for Variational-Hemivariational Inequalities
Journal of Applied Mathematics, 2012 We generalize the concept of well-posedness by perturbations for optimization problem to a class of variational-hemivariational inequalities. We establish some metric characterizations of the well-posedness by perturbations for the variational ...
Shu Lv +3 more
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Well-Posedness for a Class of Strongly Mixed Variational-Hemivariational Inequalities with Perturbations [PDF]
Journal of Applied Mathematics, 2012 The concept of well-posedness for a minimization problem is extended to develop the concept of well-posedness for a class of strongly mixed variational-hemivariational inequalities with perturbations which includes as a special case the class of ...
Lu-Chuan Ceng +2 more
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Solvability of Conformable Type Frictionless Contact Problem via Hemivariational Inequalities
Axioms, 2022 In this paper, we study a class of conformable frictionless contact problems with the surface traction driven by the conformable impulsive differential equation.
Jianwei Hao, Jinrong Wang, Jiangfeng Han
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A class of hyperbolic variational–hemivariational inequalities without damping terms [PDF]
Advances in Nonlinear Analysis, 2022 In this article, we study a large class of evolutionary variational–hemivariational inequalities of hyperbolic type without damping terms, in which the functional framework is considered in an evolution triple of spaces.
Zeng Shengda +2 more
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Well-posedness characterizations for system of mixed hemivariational inequalities [PDF]
Miskolc Mathematical NotesIn this paper, we concern with the concept of well-posedness and well-posedness in generalized sense for a system of mixed hemivariational inequality (SMHVI) with perturbations.
Kartikeswar Mahalik, Chandal Nahak
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Infinitely Many Solutions for Perturbed Hemivariational Inequalities [PDF]
Boundary Value Problems, 2010 We deal with a perturbed eigenvalue Dirichlet-type problem for an elliptic hemivariational inequality involving the -Laplacian. We show that an appropriate oscillating behaviour of the nonlinear part, even under small perturbations, ensures the ...
Molica Bisci Giovanni +1 more
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A Penalty Method for Elliptic Variational–Hemivariational Inequalities
AxiomsWe 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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Hemivariational inequalities on graphs
Computational and Applied Mathematics, 2022 In this paper, a new class of hemivariational inequalities is introduced. It concerns Laplace operator on locally finite graphs together with multivalued nonmonotone nonlinearities expressed in terms of Clarke's subdifferential. First of all, we state and prove some results on the subdifferentiability of nonconvex functionals defined on graphs ...
Nouhayla Ait Oussaid +4 more
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