相关期刊:《Journal of Mathematical Research with Applications》《Science China Mathematics》《Journal of Computational Mathematics》《Journal of Partial Differential Equations》更多>>
Supported by the National Natural Science Foundation of China (12326602)。
We show that the Dirac equation is separated into four differential equations for time-periodic Majorana fermions in Kerr-Newman and Kerr-Newman-(A)dS spacetimes.Although they cannot be transformed into radial and ang...
supported by Baylor University through the Baylor Physics graduate program;supported by the Initial Research Foundation of Jiangxi Normal University(Grant No.12022827);partially supported by the National Key Research and Development Program of China(Grant No.2020YFC2201504);the National Natural Science Foundation of China(Grant Nos.11975203,12075202,and 11875136);the Natural Science Foundation of Jiangsu Province(Grant No.BK20211601);partially supported by the National Science Foundation(Grant No.PHY2308845)。
In this paper,we study the quantum geometric effects near the locations where classical black hole horizons used to appear in Einstein's classical theory,within the framework of an improved dynamic approach,in which t...
supported by the Beijing Natural Science Foundation(1212003)。
Let?denote a smooth,bounded domain in R^(N)(N≥2).Suppose that g is a nondecreasing C^(1)positive function and assume that b(x)is continuous and nonnegative inΩ,and that it may be singular on■Ω.In this paper,we pro...
In this article, we establish a nonexistence result of nontrivial non-negative solutions for the following Choquard-type Hamiltonian system by the Pohožaev identity , when , , , , , and , where and denotes the convolu...
supported by Beijing Natural Science Foundation under Grant No.1212003;the Promoting the Classified Development of Colleges and Universities-application and Cultivation of Scientific Research Awards of BISTU under Grant No.2021JLPY408。
In this paper,we analyze the existence,multiplicity and nonexistence of nontrivial radial convex solutions to the following system coupled by singular Monge-Ampère equations{det D^(2)u_(1)=λh_(1)f_(1)(-u_(2))inΩ,de...
support from Nature Science Fund of China(No.11771354).
The purpose of this paper is to investigate the nonexistence of positive so lutions of the following doubly nonlinear degenerate parabolic equations:{∂u=▽k·(u^(m-1)|▽ku|^(p-2)▽ku)+(w)u^(m+p-2),u(w,0)=u0(w)≥0,u(w,...
We mainly study the nonexistence of quasi-harmonic spheres and harmonic spheres into spheres of any dimension which omits a neighbourhood of totally geodesic submanifold of co-dimension 2.We will show that such target...
This work is partially supported by Natural Science Foundation of Hunan Province(No.2019JJ30030);Training Program for Excellent Young Innovators of Changsha(No.kql905052).
In the study of(partial)difference sets and their generalizations in groups G,the most widely used method is to translate their definition into an equation over group ring Z[G]and to investigate this equation by apply...
Supported by the National Natural Science Foundation of China(12101452,12071229,11771218)。
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...
supported by Natural Science Foundation of Fujian province in China(No:2019J01858).
The paper proves the nonexistence of the solution for the following Cauchy problem{ut=div(|■u^m|(p-2■u^(m)))^-λu^(q),u(x,0)=δ(x),(x,t)∈S_(T)=R^(N)×(0,T),x∈R^(N),under some conditions on m,p,q,λ,whereδis Dirac...