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Solving System of Mixed Ordered Variational Inequalities Involving XOR and XNOR Operations in Ordered Product Banach Space

open access: yesJournal of Advances in Applied & Computational Mathematics, 2023
In this article, we study a generalized system of mixed ordered variational inequalities problems with various operations in a real ordered product Banach space and discuss the existence of the solution of our considered problem.
Iqbal Ahmad, Mohammad Farid, S. S. Irfan
semanticscholar   +1 more source

The Monotonicity of the Principal Frequency of the Anisotropic p-Laplacian

open access: yesComptes rendus. Mathematique, 2022
Let D > 1 be a fixed integer. Given a smooth bounded, convex domain Ω⊂RD and H :RD → [0,∞) a convex, even, and 1-homogeneous function of class C 3,α(RD \ {0}) for which the Hessian matrix D2(H p ) is positive definite in RD \ {0} for any p ∈ (1,∞), we ...
M. Bocea   +2 more
semanticscholar   +1 more source

Remarks on some variants of minimal point theorem and Ekeland variational principle with applications

open access: yesDemonstratio Mathematica, 2022
This paper presents some variants of minimal point theorem together with corresponding variants of Ekeland variational principle. In the second part of this article, there is a discussion on Ekeland variational principle and minimal point theorem ...
Meghea Irina, Stamin Cristina Stefania
doaj   +1 more source

Existence of normalized solutions for the coupled elliptic system with quadratic nonlinearity

open access: yesAdvanced Nonlinear Studies, 2022
In the present paper, we study the existence of the normalized solutions for the following coupled elliptic system with quadratic nonlinearity −Δu−λ1u=μ1∣u∣u+βuvinRN,−Δv−λ2v=μ2∣v∣v+β2u2inRN,\left\{\begin{array}{ll}-\Delta u-{\lambda }_{1}u={\mu }_{1}| u|
Wang Jun, Wang Xuan, Wei Song
doaj   +1 more source

Well-posedness for bilevel vector equilibrium problems with variable domination structures

open access: yesOpen Mathematics, 2023
In this article, well-posedness for two types of bilevel vector equilibrium problems with variable domination structures are introduced and studied. With the help of cosmically upper continuity or Hausdorff upper semi-continuity for variable domination ...
Xu Yu-ping   +3 more
doaj   +1 more source

A sharp global estimate and an overdetermined problem for Monge-Ampère type equations

open access: yesAdvanced Nonlinear Studies, 2022
We consider Monge-Ampère type equations involving the gradient that are elliptic in the framework of convex functions. Through suitable symmetrization we find sharp estimates to solutions of such equations.
Mohammed Ahmed, Porru Giovanni
doaj   +1 more source

An extragradient inertial algorithm for solving split fixed-point problems of demicontractive mappings, with equilibrium and variational inequality problems

open access: yesDemonstratio Mathematica, 2022
The purpose of this article is to study and analyse a new extragradient-type algorithm with an inertial extrapolation step for solving split fixed-point problems for demicontractive mapping, equilibrium problem, and pseudomonotone variational inequality ...
Okeke Chibueze C.   +2 more
doaj   +1 more source

Convergence Results for Elliptic Variational-Hemivariational Inequalities

open access: yesAdvances 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   +2 more
doaj   +1 more source

On I. Meghea and C. S. Stamin review article “Remarks on some variants of minimal point theorem and Ekeland variational principle with applications,” Demonstratio Mathematica 2022; 55: 354–379

open access: yesDemonstratio Mathematica, 2023
Being informed that one of our articles is cited in the paper mentioned in the title, we downloaded it, and we were surprised to see that, practically, all the results from our paper were reproduced in Section 3 of Meghea and Stamin’s article.
Göpfert Alfred   +2 more
doaj   +1 more source

Source term model for elasticity system with nonlinear dissipative term in a thin domain

open access: yesDemonstratio Mathematica, 2022
This article establishes an asymptotic behavior for the elasticity systems with nonlinear source and dissipative terms in a three-dimensional thin domain, which generalizes some previous works.
Dilmi Mohamed   +3 more
doaj   +1 more source

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