Optimal Control of Quasistatic Plasticity with Linear Kinematic Hardening Part I: Existence and Discretization in Time [PDF]
arXiv, 2012 In this paper we consider an optimal control problem governed by a time-dependent variational inequality arising in quasistatic plasticity with linear kinematic hardening. We address certain continuity properties of the forward operator, which imply the existence of an optimal control.
arxiv
A Total Variation Diminishing Interpolation Operator and Applications [PDF]
arXiv, 2012 We construct, on continuous $Q_1$ finite elements over Cartesian meshes, an interpolation operator that does not increase the total variation. The operator is stable in $L^1$ and exhibits second order approximation properties. With the help of it we provide improved error estimates for discrete minimizers of the total variation denoising problem and ...
arxiv
On Strong convergence of Halpern's method using averaged type mappings [PDF]
arXiv, 2014 In this paper, inspired by Iemoto and Takahashi [S. Iemoto, W. Takahashi, Nonlinear Analysis 71, (2009), 2082-2089], we study the Halpern's method to approximate strongly fixed points of a nonexpansive mapping and of a nonspreading mapping. A crucial tool in our results is the regularization with the averaged type mappings [C. Byrne, Inverse Probl. 20,
arxiv
Variational Inequality Approach to Stochastic Nash Equilibrium Problems with an Application to Cournot Oligopoly [PDF]
arXiv, 2014 In this note we investigate stochastic Nash equilibrium problems by means of monotone variational inequalities in probabilistic Lebesgue spaces. We apply our approach to a class of oligopolistic market equilibrium problems where the data are known through their probability distributions.
arxiv
Existence and multiplicity of solutions for nonlocal systems with Kirchhoff type [PDF]
arXiv, 2014 Firstly, we use Nehari manifold and Mountain Pass Lemma to prove an existence result of positive solutions for a class of nonlocal elliptic system with Kirchhoff type. Then a multiplicity result is established by cohomological index of Fadell and Rabinowitz.
arxiv
Journal of Inequalities and Applications, 2011 In this article, we introduce a new general composite iterative scheme for finding a common element of the set of solutions of a generalized mixed equilibrium problem, the set of fixed points of an infinite family of nonexpansive mappings and the set of ...
Jung Jong Soo
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The Dirichlet problem for discontinuous perturbations of the mean curvature operator in Minkowski space [PDF]
arXiv, 2015 Using the critical point theory for convex, lower semicontinuous perturbations of locally Lipschitz functionals, we prove the solvability of the discontinuous Dirichlet problem involving the operator $u\mapsto{div} (\frac{\nabla u}{\sqrt{1-|\nabla u|^2}})$.
arxiv
Symmetric strong vector quasiequilibrium problems in Hausdorff locally convex spaces
Journal of Inequalities and Applications, 2011 In this article, a new symmetric strong vector quasiequilibrium problem in real locally convex Hausdorff topological vector spaces is introduced and studied.
Cho Yeol, Chen Bin, Huang Nan-jing
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A mass transportation approach for Sobolev inequalities in variable exponent spaces [PDF]
arXiv, 2015 In this paper we provide a proof of the Sobolev-Poincar\'e inequality for variable exponent spaces by means of mass transportation methods. The importance of this approach is that the method is exible enough to deal with different inequalities. As an application, we also deduce the Sobolev-trace inequality improving the result obtained by Fan.
arxiv
Journal of Inequalities and Applications, 2011 In order to unify some variational inequality problems, in this paper, a new system of generalized quasivariational inclusion (for short, (SGQVI)) is introduced.
Chen Jia-wei, Wan Zhongping
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