具有对数非线性的相对论Schrödinger调和分数p-Laplacian模型的径向对称性

IF 2.6 3区数学 Q1 MATHEMATICS, APPLIED

Nonlinear Analysis-Modelling and Control Pub Date : 2022-12-23 DOI:10.15388/namc.2023.28.29621

Wenwen Hou, Lihong Zhang

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引用次数: 0

摘要

在相对论性薛定谔算子（–Δ+m2）s和调和分数拉普拉斯算子（Δ+λ）β/2的基础上，引入相对论性Schrödinger调和分数p-拉普拉斯算子（–△）p，λs，m，我们考虑了一个涉及对数非线性的相对论性Schrötinger调和分数p-拉普拉斯模型。我们首先建立了极大值原理和边界估计，这在后面的过程中起着至关重要的作用。然后利用移动平面的直接方法得到了径向对称性和单调性的结果。

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Radial symmetry of a relativistic Schrödinger tempered fractional p-Laplacian model with logarithmic nonlinearity

In this paper, by introducing a relativistic Schrödinger tempered fractional p-Laplacian operator (–Δ)p,λs,m, based on the relativistic Schrödinger operator (–Δ + m2)s and the tempered fractional Laplacian (Δ + λ)β/2, we consider a relativistic Schrödinger tempered fractional p-Laplacian model involving logarithmic nonlinearity. We first establish maximum principle and boundary estimate, which play a very crucial role in the later process. Then we obtain radial symmetry and monotonicity results by using the direct method of moving planes.

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来源期刊

Nonlinear Analysis-Modelling and Control MATHEMATICS, APPLIED-MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

CiteScore

3.80

自引率

10.00%

发文量

审稿时长

9.6 months

期刊介绍： The scope of the journal is to provide a multidisciplinary forum for scientists, researchers and engineers involved in research and design of nonlinear processes and phenomena, including the nonlinear modelling of phenomena of the nature. The journal accepts contributions on nonlinear phenomena and processes in any field of science and technology. The aims of the journal are: to provide a presentation of theoretical results and applications; to cover research results of multidisciplinary interest; to provide fast publishing of quality papers by extensive work of editors and referees; to provide an early access to the information by presenting the complete papers on Internet.