摘要
本文引入回火分数p-Laplace(-△-λ)_(p)^(s),讨论了含有对数非线性项的回火分数p-Laplace系统的驻波解.通过极值原理和直接移动平面法,分别研究在全空间和上半空间上驻波解的径向对称性和非存在性.
We first introduce tempered fractional p-Laplace(-Δ-λ)_(p)^(s).Then we consider standing waves for tempered fractional p-Laplace systems involving logarithmic nonlinearity,combining the maximum principles with the method of moving planes,radial symmetry and nonexistence of the solution on the whole space and upper half space are obtained,respectively.
作者
王国涛
侯文文
张丽红
Ravi P.AGARWAL
Guo Tao WANG;Wen Wen HOU;Li Hong ZHANG;Ravi P.AGARWAL(School of Mathematics and Computer Science,Shanxi Normal University,Linfen 041004,P.R.China;Nonlinear Analysis and Applied Mathematics(NAAM)Research Group,Department of Mathematics,Faculty of Science,King Abdulaziz University,Jeddah 21589,Saudi Arabia;Department of Mathematics,Texas A&M University,Kingsville,TX 78363-8202,USA Nonlinear Analysis and Applied Mathematics(NAAM)Research Group,Department of Mathematics,Faculty of Science,King Abdulaziz University,Jeddah 21589,Saudi Arabia)
出处
《数学学报(中文版)》
CSCD
北大核心
2021年第3期501-514,共14页
Acta Mathematica Sinica:Chinese Series
基金
国家自然科学基金资助项目(12001344)
山西省研究生教育创新项目(2019XY301)
山西师范大学研究生科技创新项目(2019XSY025)。