L. H. Chinh

most citedViscosity solutions to complex Hessian equations

43 citations · 59 across the 4 of their papers we have counts for

collaborators

4 papers

math.CV2013★ 13 cited

A variational Approach to complex Hessian equations in $C^{n}$

Lu Hoang Chinh

Let $Ω$ be a $m$ -hyperconvex domain of $C^{n}$ and $β$ be the standard Kähler form in $C^{n}$ . We introduce finite energy classes of $m$ -subharmonic functions of Cegr…

math.CV2012★ 43 cited

Viscosity solutions to complex Hessian equations

Lu Hoang Chinh

We study viscosity solutions to complex hessian equations. In the local case, we consider $Ω$ a bounded domain in $C^{n},$ $β$ the standard Kähler form in $C^{n}$ an…

math.CV2012

Smooth solutions to the complex Hessian equation

Lu Hoang Chinh

Let $(X, ω)$ be a compact Kähler manifold of dimension $n$ , and fix $1 \leq m \leq n .$ We prove that the complex Hessian equation $(ω + d d^{c} φ)^{m} \land ω^{n - m} = f ω^{n}$ , with $0<f\in \mathc…

math.CV2012★ 3 cited

Solutions to degenerate complex Hessian equations

Lu Hoang Chinh

Let $(X, ω)$ be an $n$ -dimensional compact Kähler manifold. We study degenerate complex Hessian equations of the form $(ω + d d^{c} φ)^{m} \land ω^{n - m} = F (x, φ) ω^{n} .$ Under some natural condi…

A variational Approach to complex Hessian equations in Cn

Viscosity solutions to complex Hessian equations

Smooth solutions to the complex Hessian equation

Solutions to degenerate complex Hessian equations

A variational Approach to complex Hessian equations in $C^{n}$