In this paper, we study two semilinear singular biharmonic equations： one with subcritical exponent and critical potential, another with sub-critical potential and critical exponent. By Pohozaev identity for singular...In this paper, we study two semilinear singular biharmonic equations： one with subcritical exponent and critical potential, another with sub-critical potential and critical exponent. By Pohozaev identity for singular solution, we prove there is no nontrivial solution for equations with critical exponent and critical potential. And by using the concentrate compactness principle and Mountain Pass theorem, respectively, we get two existence results for the two problems. Meanwhile, we have compared the changes of the critical dimensions in singular and non-singular cases, and we get an interesting result.展开更多
The author documents a nearly decade-long journey to discover the village murals of Shanxi,comprising over 70%of China's existing ancient wall paintings,presenting the current state of classical culture preservati...The author documents a nearly decade-long journey to discover the village murals of Shanxi,comprising over 70%of China's existing ancient wall paintings,presenting the current state of classical culture preservation in these villages and their challenges.At the same time,the book showcases over 20 temple murals worth admiring,which may already be disappearing.This is a book with a strong sense of on-site experience,visual impact,and the power to inspire readers to protect traditional culture.展开更多
When Grandma shouted to Grandpa to eat,Grandpa always liked to hide,and Grandma would look for him,find him,and laugh happily when she saw him.On Grandma's 80th birthday,Grandpa disappeared again.This time,the who...When Grandma shouted to Grandpa to eat,Grandpa always liked to hide,and Grandma would look for him,find him,and laugh happily when she saw him.On Grandma's 80th birthday,Grandpa disappeared again.This time,the whole family looked for Grandpa together.Who would find Grandpa?展开更多
1When De Amicis moved from Ambly⁃sur⁃Meuse,in the Orne region of France,to Ginai in Normandy,with her family a year ago,the family tried to keep their three cats,Felys,Crapaud,and Cocci,in the new house,as they were w...1When De Amicis moved from Ambly⁃sur⁃Meuse,in the Orne region of France,to Ginai in Normandy,with her family a year ago,the family tried to keep their three cats,Felys,Crapaud,and Cocci,in the new house,as they were worried they'd become lost in their new surroundings.But somehow,Cocci,a sweet gray⁃and⁃white cat,left home and disappeared.展开更多
Taking the palaces in the Qin and Han dynasties as the context,this book restores the original appearance of nearly twenty palaces in history that have disappeared and tells the story about each of them.With the devel...Taking the palaces in the Qin and Han dynasties as the context,this book restores the original appearance of nearly twenty palaces in history that have disappeared and tells the story about each of them.With the development of stories,the historical events that took place in each palace are recovered.Readers can get in touch with the figures who used to be here and witness their joys and sorrows.展开更多
Silicon carbide（SiC）-alumina（Al_2O_3）-mullite（Al_6Si_2O_（13）） composite powder was successfully synthesized at 1 550 ℃ for 5 h via carbothermal reduction reaction,and the effects of various mass ratios of act...Silicon carbide（SiC）-alumina（Al_2O_3）-mullite（Al_6Si_2O_（13）） composite powder was successfully synthesized at 1 550 ℃ for 5 h via carbothermal reduction reaction,and the effects of various mass ratios of active carbon to fly ash（0.38,0.44 and 0.58） on the phase composition and microstructure of products were investigated,and the formation process of the powder was also analyzed in detail.The products mainly consist ofβ-SiC,α-Al_2O_3,Al_6Si_2O_（13） and FeSi.Increasing carbon content favors the decomposition of Al_6Si_2O_（13） and formation of SiC.The average particle size of β-SiC andα-Al_2O_3 is about 1 μm and that of Al_6Si_2O_（13） is 5-10μm.The formation process of SiC-Al_2O_3-Al_6Si_2O_（13）powder includes the decomposition of mullite in fly ash and formation of SiC.展开更多
基金the National Natural Science Foundation of China (Nos.10171032,10071080,10101024)
文摘In this paper, we study two semilinear singular biharmonic equations： one with subcritical exponent and critical potential, another with sub-critical potential and critical exponent. By Pohozaev identity for singular solution, we prove there is no nontrivial solution for equations with critical exponent and critical potential. And by using the concentrate compactness principle and Mountain Pass theorem, respectively, we get two existence results for the two problems. Meanwhile, we have compared the changes of the critical dimensions in singular and non-singular cases, and we get an interesting result.
文摘The author documents a nearly decade-long journey to discover the village murals of Shanxi,comprising over 70%of China's existing ancient wall paintings,presenting the current state of classical culture preservation in these villages and their challenges.At the same time,the book showcases over 20 temple murals worth admiring,which may already be disappearing.This is a book with a strong sense of on-site experience,visual impact,and the power to inspire readers to protect traditional culture.
文摘When Grandma shouted to Grandpa to eat,Grandpa always liked to hide,and Grandma would look for him,find him,and laugh happily when she saw him.On Grandma's 80th birthday,Grandpa disappeared again.This time,the whole family looked for Grandpa together.Who would find Grandpa?
文摘1When De Amicis moved from Ambly⁃sur⁃Meuse,in the Orne region of France,to Ginai in Normandy,with her family a year ago,the family tried to keep their three cats,Felys,Crapaud,and Cocci,in the new house,as they were worried they'd become lost in their new surroundings.But somehow,Cocci,a sweet gray⁃and⁃white cat,left home and disappeared.
文摘Taking the palaces in the Qin and Han dynasties as the context,this book restores the original appearance of nearly twenty palaces in history that have disappeared and tells the story about each of them.With the development of stories,the historical events that took place in each palace are recovered.Readers can get in touch with the figures who used to be here and witness their joys and sorrows.
基金financially supported by the Open Research Fund for the Key Laboratory for Ferrous Metallurgy and Resources Utilization of Ministry of Education of Wuhan University of Science and Technology(Grant No.FMRU201401)the Fundamental Research Funds for the Central Universities(Grant No.N150204021).
文摘Silicon carbide（SiC）-alumina（Al_2O_3）-mullite（Al_6Si_2O_（13）） composite powder was successfully synthesized at 1 550 ℃ for 5 h via carbothermal reduction reaction,and the effects of various mass ratios of active carbon to fly ash（0.38,0.44 and 0.58） on the phase composition and microstructure of products were investigated,and the formation process of the powder was also analyzed in detail.The products mainly consist ofβ-SiC,α-Al_2O_3,Al_6Si_2O_（13） and FeSi.Increasing carbon content favors the decomposition of Al_6Si_2O_（13） and formation of SiC.The average particle size of β-SiC andα-Al_2O_3 is about 1 μm and that of Al_6Si_2O_（13） is 5-10μm.The formation process of SiC-Al_2O_3-Al_6Si_2O_（13）powder includes the decomposition of mullite in fly ash and formation of SiC.
