Zobrazeno 1 - 10
of 61
pro vyhledávání: '"Fang, Yuzhou"'
We consider a wide class of fully nonlinear integro-differential equations that degenerate when the gradient of the solution vanishes. By using compactness and perturbation arguments, we give a complete characterization of the regularity of viscosity
Externí odkaz:
http://arxiv.org/abs/2408.15559
In this paper, we utilize the De Giorgi iteration to quantitatively analyze the upper bound of solutions for Keller-Segel type systems. The refined upper bound estimate presented here has broad applications in determining large time behaviours of wea
Externí odkaz:
http://arxiv.org/abs/2406.07982
Autor:
Fang, Yuzhou, Zhang, Chao
This paper is devoted to studying the weak Harnack inequalities for nonlocal double phase functionals by using expansion of positivity, whose prototype is $$ \iint_{\mathbb{R}^n\times\mathbb{R}^n} \left(\frac{|u(x)-u(y)|^p}{|x-y|^{n+sp}}+a(x,y)\frac{
Externí odkaz:
http://arxiv.org/abs/2405.19738
Publikováno v:
Phys. Rev. D 109, 062001 (2024)
TianQin is a proposed mission for space-based gravitational-wave detection that features a triangular constellation in circular high Earth orbits. The mission entails three drag-free controlled satellites and long-range laser interferometry with stri
Externí odkaz:
http://arxiv.org/abs/2402.02383
Autor:
Fang, Yuzhou
Project stakeholder management (SM) as one of the building blocks for project management theory has been studied by many scholars, and a lot of theoretical frameworks are developed to analyse relevant stakeholders based on different groups of attribu
Externí odkaz:
http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-511772
Autor:
Fang, Yuzhou, Zhang, Chao
We deal with a wide class of generalized nonlocal $p$-Laplace equations, so-called nonlocal $G$-Laplace equations, in the Heisenberg framework. Under natural hypotheses on the $N$-function $G$, we provide a unified approach to investigate in the spir
Externí odkaz:
http://arxiv.org/abs/2307.01743
We prove interior boundedness and H\"{o}lder continuity for the weak solutions of nonlocal double phase equations in the Heisenberg group $\mathbb{H}^n$. This solves a problem raised by Palatucci and Piccinini et. al. in 2022 and 2023 for nonlinear i
Externí odkaz:
http://arxiv.org/abs/2305.11690
We consider the mixed local and nonlocal functionals with nonstandard growth \begin{eqnarray*} u\mapsto\int_{\Omega}(|Du|^p-f(x)u)\,dx+\int_{\mathbb{R}^N}\int_{\mathbb{R}^N}\frac{|u(x)-u(y)|^q}{|x-y|^{N+sq}}\,dxdy \end{eqnarray*} with $1
Externí odkaz:
http://arxiv.org/abs/2304.00778
We establish the equivalence between weak and viscosity solutions to the nonhomogeneous double phase equation with lower-order term $$ -{\rm div}(|Du|^{p-2}Du+a(x)|Du|^{q-2}Du)=f(x,u,Du),\quad 1
Externí odkaz:
http://arxiv.org/abs/2210.02786
Due to the open-source nature of the blockchain ecosystem, it is common for new blockchains to fork or partially reuse the code of classic blockchains. For example, the popular Dogecoin, Litecoin, Binance BSC, and Polygon are all variants of Bitcoin/
Externí odkaz:
http://arxiv.org/abs/2208.00205