Solutions to weighted complex \(m\)-Hessian equations on domains in \(\mathbb{C}^n\)
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Publication:6063668
DOI10.1016/j.jmaa.2023.127732zbMath1528.32051arXiv2307.03955MaRDI QIDQ6063668
Nguyen van Phu, Nguyen Quang Dieu
Publication date: 8 November 2023
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2307.03955
Complex Monge-Ampère operators (32W20) Plurisubharmonic functions and generalizations (32U05) Other partial differential equations of complex analysis in several variables (32W50) Boundary value problems for systems of nonlinear first-order PDEs (35F60)
Cites Work
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- Hölder continuous solutions to complex Hessian equations
- A new capacity for plurisubharmonic functions
- Monge-Ampère measures on pluripolar sets
- Fine topology, Šilov boundary, and \((dd^ c)^ n\)
- Pluricomplex energy
- On the Dirichlet problems for symmetric function equations of the eigenvalues of the complex Hessian
- Equicontinuity of families of plurisubharmonic functions with bounds on their Monge-Ampère masses
- Uniqueness properties of \(m\)-subharmonic functions in Cegrell classes
- A variational approach to complex Hessian equations in \(\mathbb{C}^n\)
- Maximal \(m\)-subharmonic functions and the Cegrell class \(\mathcal{N}_m\)
- A Dirichlet problem for the complex Monge-Ampère operator in \(\mathcal F(f)\)
- A priori estimates for complex Hessian equations
- Weak solutions to the complex Hessian equation.
- Convergence in Capacity
- On a Monge–Ampère type equation in the Cegrell class Eχ
- A comparison principle for the complex Monge-Ampère operator in Cegrell’s classes and applications
- Complex Monge-Ampère Measures of Plurisubharmonic Functions with Bounded Values Near the Boundary
- The Dirichlet problem for the complex Hessian operator in the class $\mathcal{N}_m(\Omega,f)$
- Hessian measures on m-polar sets and applications to the complex Hessian equations
- On the Dirichlet problem for the complex Monge-Ampère operator