Related papers: R\'esolution du "partition problem" par une approc…
This paper has been withdrawn by the author
This paper has been withdrawn
This paper has been withdrawn by the author.
This paper has been withdrawn by the author.
This paper has been withdrawn by the authors until some changes are made.
The article has been withdrawn by the author.
This paper has been withdrawn.
This paper has been withdrawn.
This paper has been withdrawn because of serious errors.
This paper has been withdrawn as it has been superseded by 0808.2697
The paper has been withdrawn
This article has been withdrawn due to an error in a proof of the main result.
We explore an optimal partition problem on surfaces using a computational approach. The problem is to minimise the sum of the first Dirichlet Laplace--Beltrami operator eigenvalues over a given number of partitions of a surface. We consider…
A new and relatively elementary approach is proposed for solving the problem of fair division of a continuous resource (measurable space, pie, etc.) between several participants, the selection criteria of which are described by charges…
We introduce a new Partition of Unity Method for the numerical homogenization of elliptic partial differential equations with arbitrarily rough coefficients. We do not restrict to a particular ansatz space or the existence of a finite…
The paper has been withdrawn.
This paper has been withdrawn. The result anyway is still true for rational double points Dn. (the cases of E6,E7,E8 are not solved yet).
This paper has been withdrawn due to an error, and no further revisions will be made.
This paper has been withdrawn.
This paper deals with the existence of solutions for an elliptic system of partial differential equations. The solution method is based on the sub- and super-solutions approach. An application to a stochastic control problem is presented.…