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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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.
Weimin Han, Min Ling, Han Weimin
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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
doaj +1 more source
Mathematics, 2023 In this work, we used reflexive Banach spaces to study the differential variational—hemivariational inequality problems with constraints. We established a sequence of perturbed differential variational–hemivariational inequality problems with perturbed ...
Shih-Sen Chang +4 more
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Existence of a Generalized Solution for the Fractional Contact Problem
Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023 In this paper, we take into consideration the mathematical analysis of time‐dependent quasistatic processes involving the contact between a solid body and an extremely rigid structure, referred to as a foundation. It is assumed that the constitutive law is fractional long‐memory viscoelastic.
Leila Ait kaki +4 more
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Global Attractor for Second‐Order Nonlinear Evolution Differential Inclusions
Complexity, Volume 2021, Issue 1, 2021., 2021 In this paper, we address the model of global attractor formulated in the form of evolution differential inclusions with second order in Banach spaces. Firstly, based on the fixed point theorem, the existence result of mild solutions is deduced. Then, by implementing the measure of noncompactness, the existence of global attractor associated with m ...
Guangwang Su +2 more
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On the Hadamard Well‐Posedness of Generalized Mixed Variational Inequalities in Banach Spaces
Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021 We introduce a new concept of Hadamard well‐posedness of a generalized mixed variational inequality in a Banach space. The relations between the Levitin–Polyak well‐posedness and Hadamard well‐posedness for a generalized mixed variational inequality are studied.
Lu-Chuan Ceng +6 more
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