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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Prescribing sigma-2 curvature and boundary mean curvature on compact manifolds
紧致流形 sigma-2曲率 边界平均曲率
2023/11/15
On a smooth compact manifold of dimensions three and four with totally non-umbilic boundary，imposing non-negativity assumptions on curvatures of the background metric, we establish that there exists a...
Bottom of spectrum of Kahler manifolds with strongly pseudoconvex boundary
Bottom of spectrum of Kahler manifolds pseudoconvex boundary
2011/1/21
The study of the spectrum of the Laplace operator has been a very active subject in Riemannian geometry. In the compact case, the spectrum consists of eigenvalues.On a noncompact complete Riemannian m...
Functional relations for the six vertex model with domain wall boundary conditions
Functional relations six vertex model domain wall boundary
2010/4/2
In this work we demonstrate that the Yang-Baxter algebra can also be employed in order to derive a functional relation for the partition function of the six vertex model with domain wall boundary cond...
Geodesic boundary value problems with symmetry
Optimal control variational principles geodesic fows boundary value problems
2010/4/8
This paper shows how left and right actions of Lie groups on a manifold may be used to complement one another in a variational reformulation of optimal control problems equivalently as geodesic bounda...
Positive solutions for Second-Order Boundary Value Problem with Integral Boundary Conditions at Resonance on a Half-Line
Boundary value problem Resonance Cone Positive solution Coincidence
2010/1/22
This paper deals with the second order boundary value problem with integral boundary conditions on a half-line: a.e. in A new result on the existence of positive solutions is obta...
Boundary Homogenization for a Quasi-Linear Elliptic Problem with Dirichlet Boundary Conditions Posed on Small Inclusions Distributed on the Boundary
Boundary Homogenization Dirichlet Boundary Conditions Quasi-Linear Elliptic Problem
2009/1/22
We describe the asymptotic behaviour of the solution of a quasi-linear elliptic problem posed in a domain of $\R^n$, $n\geq 3$ and with homogeneous Dirichlet boundary conditions imposed on small zones...
Existence of positive solutions to semipositone singular Dirichlet boundary value problems
existence positive solution semipositone singular problem Dirichlet boundary conditions $\phi$-Laplacian
2007/12/13
The paper presents the conditions which guarantee that for some positive value of $\mu$ there are positive solutions of the differential equation $(\phi(x'))'+\mu Q(t,x,x')=0$ satisfying the Dirichlet...
DISCONTINUOUS STURM-LIOUVILLE PROBLEMS CONTAINING EIGENPARAMETER IN THE BOUNDARY CONDITIONS
Sturm--Liouville problem discontinuous boundary-value problem eigenvalue and eigenfunction eigenelement normalized eigenfunctions
2007/12/11
In this paper, discontinuous Sturm--Liouville problems, which contain eigenvalue parameters both in the equation and in one of the boundary conditions, are investigated. By using an operator-theoretic...
Positive Solutions for Second-Order $m$-Point Boundary Value Problems on Time Scales
time scales positive solution Schauder fixed point theorem
2007/12/11
Let $\Bbb{T}$ be a time scale such that $0,T\in \Bbb{T}$. By means of the Schauder fixed point theorem and analysis method, we establish some existence criteria for positive solutions of the $m$-point...
T=0 Partition Functions for Potts Antiferromagnets on Square Lattice Strips with (Twisted) Periodic Boundary Conditions
Functions Potts Antiferromagnets Periodic Boundary Conditions
2010/11/2
We present exact calculations of the zero-temperature partition function for the q-state Potts antiferromagnet (equivalently, the chromatic polynomial) for two families of arbitrarily long strip graph...