由均匀单调算子驱动的半变量-变量不等式的最小化原理及其在接触力学问题中的应用

IF 1.8 3区数学 Q1 MATHEMATICS, APPLIED

Nonlinear Analysis-Real World Applications Pub Date : 2024-05-09 DOI:10.1016/j.nonrwa.2024.104134

Michał Bełdziński, Marek Galewski, Filip Pietrusiak

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引用次数: 0

摘要

在本文中，我们考虑了巴拿赫空间中由均匀单调或 d 单调算子驱动的半变量-变量不等式。我们建立了相关的最小化原则，从而得出所考虑的不等式的解的存在性和唯一性，并提出了 Ritz 型数值近似方法。接下来，我们将把获得的理论结果应用于一些受接触力学模型启发的问题。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Minimization principle for hemivariational–variational inequality driven by uniformly monotone operators with application to problems in contact mechanics

In this paper, we consider hemivariational–variational inequalities driven by uniformly monotone or $d$ -monotone operators in Banach spaces. We establish related minimization principles leading to the existence and uniqueness of solutions to the inequality considered as well as we suggest the Ritz type numerical approximations. The theoretical results obtained are next applied to some problems inspired by models from contact mechanics.

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来源期刊

Nonlinear Analysis-Real World Applications 数学-应用数学

CiteScore

3.80

自引率

5.00%

发文量

176

审稿时长

59 days

期刊介绍： Nonlinear Analysis: Real World Applications welcomes all research articles of the highest quality with special emphasis on applying techniques of nonlinear analysis to model and to treat nonlinear phenomena with which nature confronts us. Coverage of applications includes any branch of science and technology such as solid and fluid mechanics, material science, mathematical biology and chemistry, control theory, and inverse problems. The aim of Nonlinear Analysis: Real World Applications is to publish articles which are predominantly devoted to employing methods and techniques from analysis, including partial differential equations, functional analysis, dynamical systems and evolution equations, calculus of variations, and bifurcations theory.