On the Mahler measure in several variables

By Elkhadiri and Sfouli [15], Weierstrass division does not hold in quasianalytic systems that extend strictly the analytic system.. Hence the resolu- tion of Childress’

The approach was based on the Lie theory of prolongation of vector fields and on the observation that the Segre varieties attached to M 0 are solutions of a nonlinear sys- tem of

[r]

A method proposed in Helson’s last paper is used to show that the constant C d in the estimate kϕk ∞ ≤ C d kH ψ k grows at least exponentially with d; it follows that there is

Keywords: semilinear elliptic equations; Lin-Ni conjecture; Sobolev inequality; interpo- lation; Gagliardo-Nirenberg inequalities; Keller-Lieb-Thirring inequality; optimal con-

We would like to solve this problem by using the One-dimensional Convex Integration Theory.. But there is no obvious choice

Remark 1 (Alternative proof of Lemma 2) We shall in fact give an alternative proof of the following weaker form of Lemma 2, which is however sufficient to complete the proof of (9)

There is no particular difficulty in defining varieties of ordered semi- groupoids and categories, and we prove in Section 1 that the varieties of ordered categories can be defined