supported by National Natural Science Foundation of China(Grant Nos.61702025 and 11801101);the Special Fund for Guangxi Bagui Scholar Project;Guangxi Science and Technology Program(Grant No.2017AD23056);the Startup Foundation for Advanced Talents in Guangxi University for Nationalities(Grant No.2015MDQD018)。
We define the second discriminant D_(2)of a univariate polynomial f of degree greater than 2 as the product of the linear forms 2r_(k)-r_(i)-r_(j)for all triples of roots r_(i),r_(k),r_(j)of f with i
supported by National Natural Science Foundation of China (Grant Nos. 11131001 and 11471115);Shanghai Key Laboratory of Pure Mathematics and Mathematical Practice;Science and Technology Commission of Shanghai Municipality (Grant No.13dz2260400)
Let(W,S) be a Coxeter group with S = I■J such that J consists of all universal elements of S and that I generates a finite parabolic subgroup W_I of W with w_0 the longest element of W_I. We describe all the left cel...
supported by National Natural Science Foundation of China(Grant Nos.11171048 and 11326149);the Science and Technology Research Project of Department of Education of Jiangxi Province(Grant No.GJJ14759)
This paper studies a higher-order semilinear parabolic system. We obtain the second critical exponent to characterize the critical space-decay rate of the initial data in the co-existence parameter region of global an...
supported by National Natural Science Foundation of China(Grant No.10901093);National Science Foundation of Shandong Province(Grant No.ZR2013AM006)
In this work,we propose a Jacobi-collocation method to solve the second kind linear Fredholm integral equations with weakly singular kernels.Particularly,we consider the case when the underlying solutions are sufficie...
supported by National Natural Science Foundation of China(Grant No.11171317);National Key Basic Research Program of China(Grant No.2013CB834202)
In this paper, we use the 2-descent method to find a series of odd non-congruent numbers = 1 (nmd 8) whose prime factors are = 1 (rood 4) such that the congruent elliptic curves have second lowest Selmer groups, w...
supported by National Natural Science Foundation of China(Grant Nos.11171048 and 11201047);the Doctor Startup Foundation of Liaoning Province(Grant No.20121025);the Fundamental Research Funds for the Central Universities
This paper deals with the Cauchy problem to the nonlinear pseudo-parabolic system ut - △u - αut =vp, vt -△v - α△vt = uq with p, q≥ 1 and pq 〉 1, where the viscous terms of third order are included. We first fin...
supported by National Natural Science Foundation of China (Grant No. 10731030);Program of Shanghai Subject Chief Scientist, Shanghai, China (Grant No. 06xd14007);supported by Institute of Mathematics, East China Normal University, Shanghai,China;supported by National Science Foundation Division of Mathematical Sciences(Grant No. 0802803)
For complete intersection isolated surface singularities, Okuma gave a formula for the second plurigenus relating geometry genus, Milnor number and Tjurina number. We generalize Okuma’s theorem to Gorenstein smoothab...
supported by Natural Science Foundation of USA(Grant No.DMS0713348);Research Grant Council of Hong Kong(Grant No.HKU7053/06P)
The main result of this article is an extension of the Second Main Theorem,of Halburd and Korhonen,for meromorphic functions of finite order.Their result replaces the counting function of the ramification divisor Nram...
supported by the Research Foundation of Beijing Government(Grant No.YB20081002802);National Natural Science Foundation of China(Grant No.10771144)
Complex Monge-Ampère equation is a nonlinear equation with high degree, so its solution is very difficult to get. How to get the plurisubharmonic solution of Dirichlet problem of complex Monge-Ampère equation on the...
supported by National Natural Science Foundation of China (Grant No. 10871117);Natural Science Foundation of Shandong Province (Grant No. Y2006A07)
In this paper, convex solutions for the second type of Feigenbaum's equation f (x) = λ1 f (f (λx)), 0 < λ < 1, f (0) = 1, 0 f (x) 1, x ∈ [0, 1] are investigated. Using constructive methods, we discuss the existenc...