Results 1 to 10 of about 129 (115)

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.
europepmc   +3 more sources

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.
europepmc   +2 more sources

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.
europepmc   +2 more sources

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.
europepmc   +2 more sources

Well-Posedness by Perturbations for Variational-Hemivariational Inequalities [PDF]

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, Yi-bin Xiao, Zhi-bin Liu, Xue-song Li   +3 more
doaj   +3 more sources

Convergence Results for Elliptic Variational-Hemivariational Inequalities [PDF]

Advances in Nonlinear Analysis, 2020
We consider an elliptic variational-hemivariational inequality 𝓟 in a reflexive Banach space, governed by a set of constraints K, a nonlinear operator A, and an element f.
Cai Dong-ling, Sofonea Mircea, Xiao Yi-bin   +2 more
doaj   +2 more sources

Existence for a quasistatic variational-hemivariational inequality

Evolution Equations and Control Theory, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zijia Peng, Zhonghui Liu
exaly   +5 more sources

A Revisit of Elliptic Variational-Hemivariational Inequalities

Numerical Functional Analysis and Optimization, 2021
In this paper, we provide an alternative approach to establish the solution existence and uniqueness for elliptic variational-hemivariational inequalities.
Weimin Han
exaly   +3 more sources

On the optimal control of variational–hemivariational inequalities

Journal of Mathematical Analysis and Applications, 2019
The present paper represents a continuation of our previous one. There, a continuous dependence result for the solution of an elliptic variational-hemivariational inequality was obtained and then used to prove the existence of optimal pairs for two associated optimal control problems.
Mircea Sofonea, Yi-Bin Xiao
exaly   +4 more sources

Existence of projected solutions for quasi-variational hemivariational inequality

Demonstratio Mathematica
In this short article, we prove the existence of projected solutions to a class of quasi-variational hemivariational inequalities with non-self-constrained mapping, which generalizes the results of Allevi et al.
Guan Fei, Cen Jinxia, Chen Boling, Yao Jen-Chih   +3 more
doaj   +2 more sources