Zobrazeno 1 - 10
of 248
pro vyhledávání: '"LI Zongyuan"'
Publikováno v:
Meikuang Anquan, Vol 52, Iss 12, Pp 78-83 (2021)
Due to the large buried depth, high stress and relatively complex coal structure in Mabidong block, about 35% of horizontal wells have problems such as difficult fracturing, high construction pressure and sand plugging during the stage fracturing, th
Externí odkaz:
https://doaj.org/article/19789409b10e4c99b3e60ba22e9d39c1
Autor:
Li, Zongyuan, Ni, Yanan, Qi, Runnan, Jiang, Lumin, Lu, Chang, Xu, Xiaojie, Liu, Xiangbei, Li, Pengfei, Guo, Yunzheng, Ma, Zhe, Guo, Xian, Huang, Kuihua, Zhang, Xuebo
This paper introduces a new environment LLM-PySC2 (the Large Language Model StarCraft II Learning Environment), a platform derived from DeepMind's StarCraft II Learning Environment that serves to develop Large Language Models (LLMs) based decision-ma
Externí odkaz:
http://arxiv.org/abs/2411.05348
The $\sigma_k(A_g)$ curvature and the boundary $\mathcal{B}^k_g$ curvature arise naturally from the Chern--Gauss--Bonnet formula for manifolds with boundary. In this paper, we prove a Liouville theorem for the equation $\sigma_k(A_g)=1$ in $\overline
Externí odkaz:
http://arxiv.org/abs/2410.16384
In a recent paper, we established optimal Liouville-type theorems for conformally invariant second-order elliptic equations in the Euclidean space. In this work, we prove an optimal Liouville-type theorem for these equations in the half-Euclidean spa
Externí odkaz:
http://arxiv.org/abs/2410.09683
A fundamental theorem of Liouville asserts that positive entire harmonic functions in Euclidean spaces must be constant. A remarkable Liouville-type theorem of Caffarelli-Gidas-Spruck states that positive entire solutions of $-\Delta u=u^{ {(n+2)}/{(
Externí odkaz:
http://arxiv.org/abs/2311.07542
Autor:
Kriventsov, Dennis, Li, Zongyuan
We prove three theorems about the asymptotic behavior of solutions $u$ to the homogeneous Dirichlet problem for the Laplace equation at boundary points with tangent cones. First, under very mild hypotheses, we show that the doubling index of $u$ eith
Externí odkaz:
http://arxiv.org/abs/2307.10517
Autor:
Li, Zongyuan
In this article, we study the asymptotics of harmonic functions. A typical method is by proving monotonicity formulas of a version of rescaled Dirichlet energy, and use it to study the renormalized solution -- the Almgren's blowup. However, such mono
Externí odkaz:
http://arxiv.org/abs/2305.00612
Autor:
Li, Zongyuan
In this work, we study unique continuation properties of Robin boundary value problems with Robin potentials $\eta \in L_{d-1+\varepsilon}$. Our results generalize earlier ones where $\eta$ was assumed to be either zero (Neumann problem) or different
Externí odkaz:
http://arxiv.org/abs/2304.04342
We prove unique continuation properties for linear variable coefficient Schr\"odinger equations with bounded real potentials. Under certain smallness conditions on the leading coefficients, we prove that solutions decaying faster than any cubic expon
Externí odkaz:
http://arxiv.org/abs/2211.03740
Publikováno v:
In Heliyon 15 January 2025 11(1)