Heisenberg群上具有权的退化竞争水平（p，q）-Laplaces算子

IF 1.4 4区数学 Q2 MATHEMATICS, APPLIED

Numerical Functional Analysis and Optimization Pub Date : 2023-01-06 DOI:10.1080/01630563.2022.2163503

A. Razani, G. Figueiredo

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引用次数: 3

摘要

摘要研究了包含Dirchlet边界条件的退化的带权水平(p, q)-拉普拉斯算子和带权竞争的带权水平(p, q)-拉普拉斯算子。研究了这些问题的存在性和逼近结果，其中是carath - odory函数，Ω是Heisenberg群中的有界光滑域，表示水平p- laplace。证明基于加权Heisenberg Sobolev空间、Nemytskij算子、Browder-Minty定理和有限维逼近。

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Degenerated and Competing Horizontal (p, q)-Laplacians with Weights on the Heisenberg Group

Abstract In this article, the degenerated horizontal (p, q)-Laplacian with weights and the competing horizontal (p, q)-Laplacian with weights including the Dirchlet boundary condition are studied. The existence and approximation results for these problems are studied where is a Carathéodory function, Ω is a bounded smooth domain in the Heisenberg group and stands for the horizontal p-Laplacian on The proofs are based on weighted Heisenberg Sobolev spaces, Nemytskij operators, Browder-Minty Theorem, and finite dimensional approximation.

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来源期刊

Numerical Functional Analysis and Optimization 数学-应用数学

CiteScore

2.40

自引率

8.30%

发文量

审稿时长

6-12 weeks

期刊介绍： Numerical Functional Analysis and Optimization is a journal aimed at development and applications of functional analysis and operator-theoretic methods in numerical analysis, optimization and approximation theory, control theory, signal and image processing, inverse and ill-posed problems, applied and computational harmonic analysis, operator equations, and nonlinear functional analysis. Not all high-quality papers within the union of these fields are within the scope of NFAO. Generalizations and abstractions that significantly advance their fields and reinforce the concrete by providing new insight and important results for problems arising from applications are welcome. On the other hand, technical generalizations for their own sake with window dressing about applications, or variants of known results and algorithms, are not suitable for this journal. Numerical Functional Analysis and Optimization publishes about 70 papers per year. It is our current policy to limit consideration to one submitted paper by any author/co-author per two consecutive years. Exception will be made for seminal papers.