【摘 要】
：
In 1971,Serrin proved that certain overdetermined boundary value elliptic equations,considered on underlying regular bounded domains,must have radially symm
【机 构】
：
TheAfricanInstituteforMathematicalSciences,Senegal
【出 处】
：
非线性偏微分方程和数学物理研讨会(NPDEMP 2016)
论文部分内容阅读
In 1971,Serrin proved that certain overdetermined boundary value elliptic equations,considered on underlying regular bounded domains,must have radially symmetric solutions.This result parallels Alexandrov rigidity theorem,stating that "the only embedded constant mean curvature surface in euclidean is the round sphere".In this talk,we discuss the existence of unbounded periodic solutions to a classical overdetermined problem,with underlying periodic domains are of the type: Bands in 2D,Slabs and Unduloids in 3D.Some applications will be also given.
其他文献
The nontopological solutions and mixed type solutions in SU(3)Chern-Simons model over R2 are subtle one.There are variational functionals for them but they
We consider a critical weakly coupled elliptic systems in a domain D in RN with N = 3, 4.We prove the existence of positive solutions which blow-up at one o
In this talk,we are concerned with the existence,multiplicity and local uniqueness of nonradial solutions for equations with critical exponent,including pol
Several physical phenomena can be described by a certain number of densities(of mass,population,probability,…)distributed in a domain and subject to laws o
We consider the third order Lugiato-Lefever equation:(0.2)(e)tu-(e)3u+iα(e)2xu+u+i|u|2u=f,t>0, x∈T,(0.3)u(0,x)= u0(x),x∈T.We assume that 2α/3(∈)Z.Equat
In this talk several existence theorems concerning the vortex solutions for some nonlinear PDE systems arising in the ABJM model will be presented.Firstly,w
In this talk,we study the degree counting formula of the rank two Toda system with simple singular sources.The key step is to derive the degree formula of t
We discuss work on existence and qualitative property of positive solutions for coupled nonlinear Schr(o)dinger equations.Depending upon the system being at
We consider the system of coupled elliptic equations {-△u-λ1u =μ1u3+βuv2-△v-λ2v =μ2v3+βu2v in R3, studying the existence of positive solutions satis
In critical point theory,Clarks theorem states as follows.Let X be a Banach space,Φ∈C1(X,R).Assume Φ satisfies the(PS)condition,is even and bounded from