Huyuan Chen
- The Dirichlet Problem for the Logarithmic Laplacian
2017/10/10 by Huyuan Chen, Tobias Weth, Chen, Huyuan +1 · 8 citations
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #Numerical methods in inverse problems
- Bounds for eigenvalues of the Dirichlet problem for the logarithmic Laplacian
2020/11/11 by Huyuan Chen, Лаурент Верон, Chen, Huyuan +1 · 8 citations
Mathematics · Computer Science · #Nonlinear Partial Differential Equations #Advanced Mathematical Modeling in Engineering #Spectral Theory in Mathematical Physics
- Classification of isolated singularities of positive solutions for Choquard equations
2015/12/10 by Huyuan Chen, Chen, Huyuan, Feng Zhou +1 · 3 citations
Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Differential Equations Analysis #Nonlinear Partial Differential Equations
- The Cauchy problem associated to the logarithmic Laplacian with an application to the fundamental solution
2023/07/30 by Huyuan Chen, Лаурент Верон, Chen, Huyuan +1 · 6 citations
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Differential Equations and Boundary Problems #Nonlinear Partial Differential Equations
- Semilinear fractional elliptic equations involving measures
2013/05/04 by Huyuan Chen, Chen, Huyuan, Лаурент Верон +1 · 2 citations
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Differential Equations Analysis #Nonlinear Partial Differential Equations
- Classification of isolated singularities of nonnegative solutions to fractional semi-linear elliptic equations and the existence results
2018/02/09 by Huyuan Chen, Alexander Quaas · 3 citations
Mathematics · Computer Science · #Nonlinear Partial Differential Equations #Nonlinear Differential Equations Analysis #Advanced Mathematical Modeling in Engineering
- An extension problem for the logarithmic Laplacian
2023/12/25 by Huyuan Chen, Chen, Huyuan, Daniel Hauer +3 · 4 citations
Mathematics · #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations
- On nonhomogeneous elliptic equations with the Hardy-Leray potentials
2017/05/23 by Huyuan Chen, Chen, Huyuan, Alexander Quaas +3 · 2 citations
Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #FOS: Mathematics #Nonlinear Partial Differential Equations
- The Poisson problem for the fractional Hardy operator: Distributional identities and singular solutions
2020/09/23 by Huyuan Chen, Tobias Weth, Chen, Huyuan +1 · 1 citation
Mathematics · #35B40 #35J75 #35R11 #Advanced Harmonic Analysis Research #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #FOS: Mathematics #Nonlinear Partial Differential Equations
- On semilinear elliptic equation with negative exponent arising from a closed MEMS model
2022/07/23 by Huyuan Chen, Chen, Huyuan, Ying Wang +3 · 1 citation
Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Spectral Theory in Mathematical Physics #Stability and Controllability of Differential Equations
- On positive solutions of critical semilinear equations involving the Logarithmic Laplacian
2024/09/07 by Huyuan Chen, Feng Zhou, Chen, Huyuan +1 · 2 citations
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Differential Equations Analysis #Nonlinear Partial Differential Equations
- Sharp Lifespan Dichotomies and Threshold Phenomena for Semilinear Heat Equations Driven by the Logarithmic Laplacian
2026/07/31 by Huyuan Chen, Rui Chen, Daniel Hauer +1
Mathematics · #math.AP #msc:35K58 #msc:35A01 #msc:35B44 #msc:35R11