In this paper,we first establish narrow region principle and decay at infinity theorems to extend the direct method of moving planes for general fractional p-Laplacian systems.By virtue of this method,we investigate t...In this paper,we first establish narrow region principle and decay at infinity theorems to extend the direct method of moving planes for general fractional p-Laplacian systems.By virtue of this method,we investigate the qualitative properties of positive solutions for the following Schrodinger system with fractional p-Laplacian{(-△)^(s)_(p)u+au^(p-1)=f(u,v),(-△)^(t)_(p)v+bv(p-1)=g(u,v),where 0<s,t<1 and 2<p<∞.We obtain the radial symmetry in the unit ball or the whole space R^(N)(N≥2),the monotonicity in the parabolic domain and the nonexistence on the half space for positive solutions to the above system under some suitable conditions on f and g,respectively.展开更多
The China–Sri Lanka Joint Center for Education and Research for the 21 st Century Maritime Silk Road（CSL-CER） was established in August 2015. The Joint Center is an overseas science and education platform establish...The China–Sri Lanka Joint Center for Education and Research for the 21 st Century Maritime Silk Road（CSL-CER） was established in August 2015. The Joint Center is an overseas science and education platform established by Chinese Academy of Sciences. CSL-CER has conducted a series of research activities, including an annual scientific expedition to the eastern Indian Ocean, with many kinds of instruments installed for monsoon and ocean observation. The ‘Numerical Forecast System for the Surrounding Area of Sri Lanka,＇ which was developed by the Joint Center, can provide rapid mapping on multiple scales and at multiple resolutions for numerical forecast products serving local society. The annual China–Sri Lanka Joint Workshop on Monsoon Climate and Ocean Environment was successfully held in 2015 and 2016. According to the Memorandum of Understanding（MOU） on joint Master＇s degrees, 15 new Master＇s students were accepted by University of Chinese Academy of Sciences（UCAS） in 2015.展开更多
基金Supported by the National Natural Science Foundation of China(12101452,12071229,11771218)。
文摘In this paper,we first establish narrow region principle and decay at infinity theorems to extend the direct method of moving planes for general fractional p-Laplacian systems.By virtue of this method,we investigate the qualitative properties of positive solutions for the following Schrodinger system with fractional p-Laplacian{(-△)^(s)_(p)u+au^(p-1)=f(u,v),(-△)^(t)_(p)v+bv(p-1)=g(u,v),where 0<s,t<1 and 2<p<∞.We obtain the radial symmetry in the unit ball or the whole space R^(N)(N≥2),the monotonicity in the parabolic domain and the nonexistence on the half space for positive solutions to the above system under some suitable conditions on f and g,respectively.
基金funded by the Bureau of International Co-operation, CASsupport provided by the Research Center for Eco-Environmental Sciences, CAS+4 种基金the Institute of Acoustics, CASthe University of Chinese Academy of Sciencesthe University of Ruhunathe University of Peradeniyathe University of Moratuwa
文摘The China–Sri Lanka Joint Center for Education and Research for the 21 st Century Maritime Silk Road（CSL-CER） was established in August 2015. The Joint Center is an overseas science and education platform established by Chinese Academy of Sciences. CSL-CER has conducted a series of research activities, including an annual scientific expedition to the eastern Indian Ocean, with many kinds of instruments installed for monsoon and ocean observation. The ‘Numerical Forecast System for the Surrounding Area of Sri Lanka,＇ which was developed by the Joint Center, can provide rapid mapping on multiple scales and at multiple resolutions for numerical forecast products serving local society. The annual China–Sri Lanka Joint Workshop on Monsoon Climate and Ocean Environment was successfully held in 2015 and 2016. According to the Memorandum of Understanding（MOU） on joint Master＇s degrees, 15 new Master＇s students were accepted by University of Chinese Academy of Sciences（UCAS） in 2015.
