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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On strongly quasiconvex functions: existence results and proximal point algorithms
强准孔函数 存在结果 近端点算法
2023/5/4
The class of strongly quasiconvex functions was introduced in the famous paper of B.T. Polyak in 1966. It is the natural extension of the class of strongly convex functions, its applications emcompass...
The Existence of Pair Potential Corresponding to Specified Density and Pair Correlation
Gibbs Field Gibbs Measure Cluster Functions Pair Potential Corrlation Functions Ursell Functions
2015/9/28
Given a potential of pair interaction and a value of activity, one can consider the Gibbs distribution in a finite domain Λ ⊂ Z d . It is well known that for small values of activity there...
Non-existence of CR submanifolds of maximal CR dimension satisfying RA = 0 in non-flat complex space forms
Complex space form CR submanifold of maximal CR dimension
2011/2/25
It has been proved that there are no real hypersurfaces satisfying RA =0 in non-flat complex space forms. In this paper we prove that the same is true in the case of CR submanifolds of maximal CR dime...
Existence and approximation of probability measure solutions to models of collective behaviors
Existence approximation of probability measure models of collective behaviors
2011/1/20
In this paper we consider first order differential models of collective behaviors of groups
of agents based on the mass conservation equation. Models are formulated taking the spatial
distribution o...
Existence of Regular Solutions for a One-Dimensional Simplified Perfect-Plastic Problem with a Unilateral Gradient Constraint
Regular Solutions Unilateral Gradient Constraint One-Dimensional Simplified Perfect-Plastic Problem
2009/2/5
This work is devoted to the study of the existence of "regular" solutions for a one-dimensional problem with unilateral constrained gradient in Perfect-Plasticity.
The particularity of this problem ...
On a New Result on the Existence of Zeros due to Ricceri
Zeros dual space Ricceri arbitrary topological spaces
2009/1/22
The purpose of this short paper is to extend a recent result of Ricceri, on the existence of zeros of functions with values in a dual space, to the existence of solutions to inclusions with values in ...
Existence and Uniqueness of Solution of Unilateral Problems with $L^{1}$ Data
Uniqueness of Solution $L^{1}$ Data Unilateral Problems
2009/1/20
We prove an existence and uniqueness theorem for the solution of unilateral problems with $L^{1}$ data.
Existence of a Continuous Solution of Parametric Nonlinear Equation with Constraints
Continuous Solution Parametric Nonlinear Equation Constraints
2009/1/16
Combining a consequence of the Michael continuous selection theorem and an iterative scheme we prove the existence of a continuous solution of a parametric equation with constraints. An inverse functi...
Euler-Lagrange Inclusions and Existence of Minimizers for a Class of Non-Coercive Variational Problems
Calculus of variations existence Euler-Lagrange inclusions radially symmetric solutions non-coercive problems
2009/1/13
We are concerned with integral functionals of the form
J(v)\doteq \int_{B_R^n} \left[f(|x|,|\nabla v(x)|)+h(|x|,v(x))\right] dx,
defined on $W^{1,1}_0(B_R^n, \mathbb{R}^m)$, where $B_R^n$ is the b...
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...
On Non-Existence of Korovkin's Theorem in the Space of Lp-locally Integrable Functions
Linear positive operators Korovkin-type theorem Weighted Lp(loc) space
2010/3/1
It is shown that a Korovkin-type theorem does not hold in the weighted space of Lp-locally integrable functions on the whole real axis.
On Existence of a Meromorphic Function With Infinitely Many of Deficient Functions
Meromorphic Function Deficient Functions
2010/3/5
Let {an(z) : {an(z)}nw, <=infinite} be a finite or denumerable set of entire functions satisfying T(r,an)<=d0ra + dn, n=1,2,…, where do,dn > 0 do not depend on r,0 In this paper we show that th...