Yuan Li

activity

20132021

most citedRepresent MOD function by low degree polynomial with unbounded one-sided error

3 citations · 4 across the 4 of their papers we have counts for

collaborators

6 papers

math.AP2021

Extremal solution and Liouville theorem for anisotropic elliptic equations

Yuan Li

We study the quasilinear Dirichlet boundary problem \begin{equation}\nonumber \left\{ \begin{aligned} -Qu&=λe^{u} \quad \mbox{in}\quadΩ\\ u&=0 \quad \mbox{on}\quad\partialΩ,\\ \end…

math.FA2019

The minus order for idempotents

Yuan Li, Jiajia Niu, Xiaoming Xu

Let $P$ and $Q$ be idempotents on a Hilbert space $H .$ The minus order $P ⪯ Q$ is defined by the equation $P Q = QP = P .$ In this note, we first present some necessary an…

math.FA2019★ 1 cited

The structures and decompositions of symmetries involving idempotents

Yuan Li, Jiaxin Zhang, Nana Wei

Let $H$ be a separable Hilbert space and $P$ be an idempotent on $H .$ We denote by $Γ_{P} = {J : J = J^{*} = J^{- 1} and J P J = I - P}$ and $…

math.FA2018

The minimal and maximal symmetries for $J$ -contractive projections

Yuan Li, Xiaomei Cai, Jiajia Niu +1

In this paper, we firstly character the structures of symmetries $J$ such that a projection $P$ is $J$ -contractive. Then the minimal and maximal elements of the symmetries $J$ with…

math.FA2018

The absolute values and support projections for a class of operator matrices involving idempotents

Yuan Li, Xiaomei Cai, Shuaijie Wang

Let $λ \in R,$ $μ \in R$ and $B$ be a linear bounded operator from a Hilbert space $K$ into another Hilbert space $H .$ In this paper, we conside…

cs.CC2013★ 3 cited

Represent MOD function by low degree polynomial with unbounded one-sided error

Chris Beck, Yuan Li

In this paper, we prove tight lower bounds on the smallest degree of a nonzero polynomial in the ideal generated by $M O D_{q}$ or $\neg M O D_{q}$ in the polynomial ring $F_p[x_1, \ldots,…