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

被引:0
作者
Hou, Wenwen [1 ]
Zhang, Lihong [2 ]
机构
[1] Zhejiang Normal Univ, Coll Math & Comp Sci, Jinhua 321004, Zhejiang, Peoples R China
[2] Shanxi Normal Univ, Sch Math & Comp Sci, Taiyuan 030031, Shanxi, Peoples R China
来源
NONLINEAR ANALYSIS-MODELLING AND CONTROL | 2023年 / 28卷 / 01期
关键词
relativistic Schrodinger tempered fractional p-Laplacian operator; direct method of moving planes; logarithmic nonlinearity; radial symmetry and monotonicity; POSITIVE SOLUTIONS; ELLIPTIC PROBLEM; MOVING PLANES; OPERATORS; NONEXISTENCE;
D O I
10.15388/namc.2023.28.29621
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, by introducing a relativistic Schrodinger tempered fractional p-Laplacian operator (-delta) (s,m)(p,lambda) , based on the relativistic Schrodinger operator (-delta + m(2))(s) and the tempered fractional Laplacian (delta + lambda)(beta/2), we consider a relativistic Schrodinger 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.
引用
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页码:20 / 33
页数:14
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