Results 71 to 80 of about 805 (130)

Sensitivity analysis for generalized set-valued parametric ordered variational inclusion with (α,λ)-NODSM mappings in ordered Banach spaces

open access: yes, 2014
In this paper, a new class of general set-valued parametric ordered variational inclusions, θ∈M(x,g(x,ρ),ρ), with (α,λ)-NODSM mappings is studied in ordered Banach spaces. Then, by using fixed point theory and the resolvent operator associated with (α,λ)-
Hong Gang Li   +3 more
semanticscholar   +1 more source

Variational inequalities for the fractional Laplacian [PDF]

open access: yesarXiv, 2015
In this paper we study the obstacle problems for the fractional Lapalcian of order $s\in(0,1)$ in a bounded domain $\Omega\subset\mathbb R^n$, under mild assumptions on the data.
arxiv  

Evolutionary quasi-variational and variational inequalities with constraints on the derivatives

open access: yesAdvances in Nonlinear Analysis, 2018
This paper considers a general framework for the study of the existence of quasi-variational and variational solutions to a class of nonlinear evolution systems in convex sets of Banach spaces describing constraints on a linear combination of partial ...
Miranda Fernando   +2 more
doaj   +1 more source

On the existence and essential components of solution sets for systems of generalized quasi-variational relation problems

open access: yes, 2014
In this paper, we study the existence of a solution for a system of quasi-variational relation problems (in short, (SQVR)). Moreover, we discuss the existence of essentially connected components of the solution set for (SQVR).
N. Hung, P. Kieu
semanticscholar   +1 more source

Nontrivial Solutions for Potential Systems Involving the Mean Curvature Operator in Minkowski Space

open access: yesAdvanced Nonlinear Studies, 2017
In this paper, we use the critical point theory for convex, lower semicontinuous perturbations of C1{C^{1}}-functionals to obtain the existence of multiple nontrivial solutions for one parameter potential systems involving the operator u↦div⁡(∇⁡u1-|∇⁡u|2)
Gurban Daniela   +2 more
doaj   +1 more source

A New System of Set-valued Variational Inclusions with H-Monotone Operators

open access: yes, 2005
The purpose of this paper is to introduce and study a new system of set-valued variational inclusions with H -monotone operators in Hilbert spaces. By using the resolvent operator method associated with H -monotone operator due to Fang and Huang, we ...
Wenjiao Yan, Yaping Fang, N. Huang
semanticscholar   +1 more source

Infinitely many solutions for a class of hemivariational inequalities involving p(x)-Laplacian

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017
In this paper hemivariational inequality with nonhomogeneous Neumann boundary condition is investigated. The existence of infinitely many small solutions involving a class of p(x) - Laplacian equation in a smooth bounded domain is established.
Fattahi Fariba, Alimohammady Mohsen
doaj   +1 more source

The contraction-proximal point algorithm with square-summable errors

open access: yes, 2013
In this paper, we study the contraction-proximal point algorithm for approximating a zero of a maximal monotone mapping. The norm convergence of such an algorithm has been established under two new conditions.
C. Tian, Fenghui Wang
semanticscholar   +1 more source

Optimal control of unilateral obstacle problem with a source term [PDF]

open access: yesarXiv, 2008
We consider an optimal control problem for the obstacle problem with an elliptic variational inequality. The obstacle function which is the control function is assumed in $H^{2}$. We use an approximate technique to introduce a family of problems governed by variational equations.
arxiv  

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