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作品数:1750被引量:2895H指数:18
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Superlinear Elliptic Equation with Mixed Boundary Value in Annular Domain
《Acta Mathematica Sinica,English Series》2021年第10期1549-1559,共11页Jian TIAN Yuan Hong WEI 
Supported by National Natural Science Foundation of China(Grant No.11871242);Natural Science Foundation of Jilin Province of China(Grant No.20200201248JC);the Fundamental Research Funds for the Central Universities。
In this paper,we study superlinear elliptic equations with mixed boundary value conditions in annular domains.It is assumed that the nonlinearities depend on the derivative terms.Some results about existence of soluti...
关键词:Mixed boundary value annular domain radial solution gradient term iterative method 
On the Mixed Pólya–Szegö Principle
《Acta Mathematica Sinica,English Series》2021年第5期753-767,共15页Niu Fa FANG Jia Zu ZHOU 
supported in part by NSFC(Grant No.12001291);supported in part by NSFC(Grant No.12071318)。
In this paper,the mixed Pólya-Szegöprinciple is established.By the mixed Pólya-Szegöprinciple,the mixed Morrey-Sobolev inequality and some new analytic inequalities are obtained.
关键词:Pólya–Szegöprinciple mixed Pólya–Szegöprinciple Sobolev inequality spherically symmetric rearrangement 
On the Algebraic Functional Equation of the Eigenspaces of Mixed Signed Selmer Groups of Elliptic Curves with Good Reduction at Primes above p
《Acta Mathematica Sinica,English Series》2021年第2期289-305,共17页Suman AHMED Meng Fai LIM 
The second author is supported by National Natural Science Foundation of China(Grant Nos.11550110172 and 11771164)。
Let p be an odd prime number,and let E be an elliptic curve defined over a number field which has good reduction at every prime above p.Under suitable assumptions,we prove that the η-eigenspace and the ■-eigenspace ...
关键词:Algebraic functional equation mixed signed Selmer groups 
The Lp,q-stability of the Shifts of Finitely Many Functions in Mixed Lebesgue Spaces Lp,q(Rd+1)
《Acta Mathematica Sinica,English Series》2018年第6期1001-1014,共14页Rui LI Bei LIU Rui LIU Oing Yue ZHANG 
Supported by the National Natural Science Foundation of China(Grant Nos.11371200,11401435,11601383and 11671214);Hundred Young Academia Leaders Program of Nankai University
The stability is an expected property for functions, which is widely considered in the study of approximation theory and wavelet analysis. In this paper, we consider the L^p,q-stability of the shifts of finitely many ...
关键词:Mixed Lebesgue spaces L^p q-stability semi-convolution 
Optimum Super-simple Mixed Covering Arrays of Type a^1b^k-1
《Acta Mathematica Sinica,English Series》2017年第1期153-164,共12页Ce SHI 
Supported by National Natural Science Foundation of China(Grant Nos.11271280 and 11301342)
A mixed covering array (MCA) of type (v1,v2,..., vk), denoted by MCAλ(N; t, k, (v1,v2,...,Vk)), is an N × k array with entries in the i-th column from a set Vi of vi symbols and has the property that each N...
关键词:Mixed covering arrays SUPER-SIMPLE OPTIMUM detecting arrays EXISTENCE 
On a Jensen-cubic Functional Equation and Its Hyers-Ulam Stability被引量:1
《Acta Mathematica Sinica,English Series》2015年第12期1929-1940,共12页Pei Sheng JI Shu Juan ZHOU Hai Yan XUE 
In this paper,we obtain the general solution and stability of the Jensen-cubic functional equation f((x1+x2)/2,2y1+y2)+f((x1+x2)/2,2(y1-y2)) = f(x1,y1 +y2)+f(x1,y1-y2)+6f(x1,y1+ f(x2,y1y2)+f...
关键词:Hyers-Ulam stability mixed cubic-quadric function Jensen-cubic functional equation 
The Generalized L_p-Mixed Affine Surface Area
《Acta Mathematica Sinica,English Series》2015年第11期1775-1788,共14页Tong Yi MA 
Supported by National Natural Science Foundation of China(Grant Nos.11161019 and 11371224);the Science and Technology Plan of the Gansu Province(Grant No.145RJZG227)
Abstract In this article, we put forward the concept of the (i,j)-type Lp-mixed alpine surface area, such that the notion of Lp-affine surface area which be shown by Lutwak is its special cases. Furthermore, applyin...
关键词:Convex body star body i-th Lp-mixed curvature function i-th Lp-mixed curvature im-age (i j)-type Lp-mixed affine surface area 
Poincar and Weak Poincar Inequalities for the Mixed Poisson Measure
《Acta Mathematica Sinica,English Series》2014年第10期1719-1728,共10页Chang Song DENG 
Supported by the Specialized Research Fund for the Doctoral Program of Higher Education of China(Grant No.20130141120036);the International Postdoctoral Exchange Fellowship Program(2013);the Fundamental Research Funds for the Central Universities
By using the Mecke identity, we study a class of birth-death type Dirichlet forms associated with the mixed Poisson measure. Both Poincare and weak Poincare inequalities are established, while another Poincare type in...
关键词:Mixed Poisson measure Poincare inequality configuration space birth-death process 
On the Stability of a Mixed Functional Equation Deriving from Additive, Quadratic and Cubic Mappings被引量:1
《Acta Mathematica Sinica,English Series》2014年第6期1033-1049,共17页Li Guang WANG Kun Peng XU Qiu Wen LIU 
Supported by National Natural Science Foundation of China(Grant No.11371222);Natural Science Foundation of Shandong Province(Grant No.ZR2012AM024);China Scholarship Council
In this paper, we investigate the general solution and the Hyers–Ulam stability of the following mixed functional equation f(2x + y) + f(2x- y) = 2f(2x) + 2f(x + y) + 2f(x- y)- 4f(x)- f(y)- f(-y)...
关键词:Additive mapping quadratic mapping cubic mapping Hyers–Ulam stability 
A Note on Initial Value Problem for the Generalized Tricomi Equation in a Mixed-type Domain被引量:2
《Acta Mathematica Sinica,English Series》2013年第8期1581-1596,共16页Kang Qun ZHANG 
Supported by National Natural Science Foundation of China (Grant No.11001122);Scientific Research Fund of Nanjing Institute of Technology (Grant No.YKJ201113)
In this paper, we study the well-posedness of initial value problem for n-dimensional gener-alized Tricomi equation in the mixed-type domain {(t,x):t∈[1,+∞),x∈Rn} with the initial data given on the line t=1 in...
关键词:Generalized Tricomi equation SEMILINEAR initial value problem mixed-type domain 
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