The stability of solutions to the complex Monge-Ampère equations in bounded \(\mathcal{F} \)-hyperconvex domains
From MaRDI portal
Publication:2009324
DOI10.1016/j.jmaa.2019.123606zbMath1430.32016OpenAlexW2981021547MaRDI QIDQ2009324
Hoang Van Can, Nguyen Thi Lien, Nguyen Xuan Hong
Publication date: 28 November 2019
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2019.123606
Related Items
Maximality of plurifinely plurisubharmonic functions ⋮ The Dirichlet problem for the complex Monge-Ampère operator on strictly plurifinely pseudoconvex domains
Cites Work
- Maximal plurifinely plurisubharmonic functions
- Plurisubharmonic and holomorphic functions relative to the plurifine topology
- A new capacity for plurisubharmonic functions
- Convergence in capacity
- Fine topology, Šilov boundary, and \((dd^ c)^ n\)
- Pluricomplex energy
- The complex Monge-Ampère equation
- Local maximality for bounded plurifinely plurisubharmonic functions
- A note on maximal subextensions of plurisubharmonic functions
- On the approximation of weakly plurifinely plurisubharmonic functions
- Hölder continuous solutions to the complex Monge-Ampère equations in non-smooth pseudoconvex domains
- Weakly solutions to the complex Monge-Ampère equation on bounded plurifinely hyperconvex domains
- Approximation of plurifinely plurisubharmonic functions
- The equation of complex Monge-Ampère type and stability of solutions
- Plurifinely plurisubharmonic functions and the Monge Ampère operator
- Convergence in Capacity
- Convergence in capacity of plurisubharmonic functions with given boundary values
- Continuity properties of finely plurisubharmonic functions and pluripolarity
- Plurifine potential theory
- A comparison principle for the complex Monge-Ampère operator in Cegrell’s classes and applications
- On the weighted log canonical thresholds of plurisubharmonic functions
- Range of the complex Monge–Ampère operator on plurifinely domain
