Multiple solutions for nonhomogeneous neumann differential inclusion problems by the p(x)-Laplacian. [PDF]
ScientificWorldJournal, 2013 A class of nonlinear Neumann problems driven by p(x)-Laplacian with a nonsmooth locally Lipschitz potential (hemivariational inequality) was considered. The approach used in this paper is the variational method for locally Lipschitz functions.
Zhou QM.
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On stability analysis for generalized Minty variational-hemivariational inequality in reflexive Banach spaces. [PDF]
J Inequal Appl, 2018 The stability for a class of generalized Minty variational-hemivariational inequalities has been considered in reflexive Banach spaces. We demonstrate the equivalent characterizations of the generalized Minty variational-hemivariational inequality.
Ceng LC, Agarwal RP, Yao JC, Yao Y.
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Metric characterizations for well-posedness of split hemivariational inequalities. [PDF]
J Inequal Appl, 2018 In this paper, we generalize the concept of well-posedness to a class of split hemivariational inequalities. By imposing very mild assumptions on involved operators, we establish some metric characterizations of the well-posedness for the split ...
Shu QY, Hu R, Xiao YB.
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Well-posedness for a class of generalized variational-hemivariational inequalities involving set-valued operators. [PDF]
J Inequal Appl, 2018 The aim of present work is to study some kinds of well-posedness for a class of generalized variational-hemivariational inequality problems involving set-valued operators.
Jiang C.
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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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Approximate controllability for second order nonlinear evolution hemivariational inequalities [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2016 The goal of this paper is to study approximate controllability for control systems driven by abstract second order nonlinear evolution hemivariational inequalities in Hilbert spaces.
Xiuwen Li +2 more
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Partial differential hemivariational inequalities
Advances in Nonlinear Analysis, 2018 The aim of this paper is to introduce and study a new class of problems called partial differential hemivariational inequalities that combines evolution equations and hemivariational inequalities.
Liu Zhenhai +2 more
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Well-posedness analysis of a stationary Navier–Stokes hemivariational inequality
Fixed Point Theory and Algorithms for Sciences and Engineering, 2021 This paper provides a well-posedness analysis for a hemivariational inequality of the stationary Navier-Stokes equations by arguments of convex minimization and the Banach fixed point.
Min Ling, Weimin Han
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A new class of fractional impulsive differential hemivariational inequalities with an application
Nonlinear Analysis, 2022 We consider a new fractional impulsive differential hemivariational inequality, which captures the required characteristics of both the hemivariational inequality and the fractional impulsive differential equation within the same framework.
Yun-hua Weng +3 more
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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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