Results 71 to 80 of about 805 (130)
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]
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
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
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
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
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
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
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
On the existence of isoperimetric regions in manifolds with nonnegative Ricci curvature and Euclidean volume growth. [PDF]
Antonelli G+3 more
europepmc +1 more source
Optimal control of unilateral obstacle problem with a source term [PDF]
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