Xi‐Nan Ma

collaborators

3 papers

math.AP2024

Best constant and extremal functions for a class Hardy-Sobolev-Maz'ya inequalities

Daowen Lin, Xi-Nan Ma

We derive an integral identity for a class $p$ -Laplace equation, and then classify all positive finite energy cylindrically symmetric solutions of the equation (\ref{1.2}) for $3\l…

math.AP2023

The Dirichlet problem of homogeneous complex k-Hessian equation in a (k-1)-pesudoconvex domain with isolated singularity

Zhenghuan Gao, Xi-Nan Ma, Dekai Zhang

In this paper, we consider the homogeneous complex k-Hessian equation in $Ω\ {0}$ . We prove the existence and uniqueness of the $C^{1, α}$ solution by constructing approxi…

math.AP2023

The Dirichlet problem of the homogeneous $k$ -Hessian equation in a punctured domain

Zhenghuan Gao, Xi-Nan Ma, Dekai Zhang

In this paper, we consider the Dirichlet problem for the homogeneous $k$ -Hessian equation with prescribed asymptotic behavior at $0 \in Ω$ where $Ω$ is a $(k - 1)$ -convex bounded domai…

Best constant and extremal functions for a class Hardy-Sobolev-Maz'ya inequalities

The Dirichlet problem of homogeneous complex k-Hessian equation in a (k-1)-pesudoconvex domain with isolated singularity

The Dirichlet problem of the homogeneous k-Hessian equation in a punctured domain

The Dirichlet problem of the homogeneous $k$ -Hessian equation in a punctured domain