Guozhen Lu
- Sharp constants for Moser‐Trudinger inequalities on spheres in complex space ℂ<sup><i>n</i></sup>
2004/08/26 by William S. Cohn, Guozhen Lu · 7 citations
Mathematics · #Analytic and geometric function theory #Nonlinear Partial Differential Equations #Numerical methods in inverse problems
- Equivalence of critical and subcritical sharp Trudinger-Moser-Adams inequalities
2015/04/19 by Nguyen Lam, Guozhen Lu, Lam, Nguyen +3 · 3 citations
Mathematics · Computer Science · #Nonlinear Partial Differential Equations #Advanced Mathematical Modeling in Engineering #Analytic and geometric function theory
- Caffarelli-Kohn-Nirenberg identities, inequalities and their stabilities
2022/11/26 by Cristian Cazacu, Joshua Flynn, Cazacu, Cristian +5 · 5 citations
Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Nonlinear Partial Differential Equations #Stability and Controllability of Differential Equations
- Sharp weighted Trudinger–Moser and Caffarelli–Kohn–Nirenberg inequalities and their extremal functions
2018/04/30 by Mengxia Dong, Nguyen Lam, Guozhen Lu · 2 citations
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Contact Mechanics and Variational Inequalities #Nonlinear Partial Differential Equations
- Least energy solutions to quasilinear subelliptic equations with constant and degenerate potentials on the Heisenberg group
2022/11/10 by Lu Chen, Guozhen Lu, Maochun Zhu · 2 citations
Mathematics · Computer Science · #Advanced Mathematical Physics Problems #Nonlinear Partial Differential Equations #Advanced Mathematical Modeling in Engineering
- Sharp Stability of Log-Sobolev and Moser-Onofri inequalities on the Sphere
2022/10/13 by Guozhen Lu, Chen, Lu, Lu, Guozhen +2 · 2 citations
Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations
- Sharp Sobolev and Adams–Trudinger–Moser embeddings on weighted Sobolev spaces and their applications
2024/01/03 by João Marcos do Ó, Guozhen Lu, Raoní Ponciano · 2 citations
- Optimal stability of Hardy-Littlewood-Sobolev and Sobolev inequalities of arbitrary orders with dimension-dependent constants
2024/05/28 by Lu Chen, Chen, Lu, Guozhen Lu +3 · 2 citations
Social Sciences · #Analysis of PDEs (math.AP) #Asian Geopolitics and Ethnography #FOS: Mathematics
- Uniqueness of positive solutions to elliptic equations with the critical exponential growth on the unit disc and its applications
2022/10/31 by Lu Chen, Chen, Lu, Guozhen Lu +5 · 1 citation
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Nonlinear Differential Equations Analysis #Nonlinear Partial Differential Equations