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Utilizing approximation algorithm, there has been a large quantity of work on optimization for submodular functions since the 1970s. As a variant, $k$-submodular function appears in many fields to mat...
Gibbs states and the set of solutions of random constraint satisfaction problems.
When the worst case integration error in a family of functions decays as nfor some > 1 and simple averages along an extensible sequence match that rate at a set of sample sizes n1 < n2 <    < 1...
Random instances of Constraint Satisfaction Problems (CSP’s) appear to be hard for all known algorithms, when the number of constraints per variable lies in a certain interval. Contributing to the gen...
Abstract: The problem of a disc and a ball rolling on a horizontal plane without slipping is considered. Differential constrained equations are shown to be integrated when the trajectory of the point ...
Abstract: The sparsity constrained rank-one matrix approximation problem is a difficult mathematical optimization problem which arises in a wide array of useful applications in engineering, machine le...
Let (M, g) be a compact Riemannian manifold on which a tracefree and divergence-free  2 W1,p and a positive function  2 W1,p, p > n,are fixed. In this paper, we study the vacuum Einstein constraint ...
We construct solutions of the constraint equation with non constant mean curvature on an asymptotically hyperbolic manifold by the conformal method. Our approach consists in decreasing a certain expo...
Considering the fluctuations of spectral functions, we prove that if chaotic systems fulfill the Bohigas-Gianonni-Schmit (BGS) conjecture, which relates their spectral statistics to that of random mat...
Upper and lower bounds are derived for the noncoherent capacity of Rician fading channel with time and frequency memory and constrained peak and average power. The peak power limitation is applied in...
Grothendieck inequalities are fundamental inequalities which are frequently used in many areas of mathematics and computer science. They can be interpreted as upper bounds for the integrality gap betw...
A new (1+1)-dimensional integrable system, i. e. the super coupled Korteweg-de Vries (cKdV) system, has been constructed by a super extension of the well-known (1+1)-dimensional cKdV system. For this ...
We present in this paper a result about existence and convexity of solutions to a free oundary problem of Bernoulli type, with non constant gradient boundary constraint depending on the outer unit nor...
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 ...
In this note we present a new concept of well-posedness for Optimization Problems with constraints described by parametric Variational Inequalities or parametric Minimum Problems. We investigate some ...

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