Weak solutions to the complex \(m\)-Hessian type equations for arbitrary nonnegative Radon measures on open subsets of \(\mathbb{C}^n\)
From MaRDI portal
Publication:2102453
DOI10.1007/s13324-022-00755-wzbMath1505.32050OpenAlexW4307959903MaRDI QIDQ2102453
Publication date: 28 November 2022
Published in: Analysis and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s13324-022-00755-w
Plurisubharmonic functions and generalizations (32U05) Currents (32U40) General pluripotential theory (32U15)
Cites Work
- Unnamed Item
- Unnamed Item
- Potential theory in the class of \(m\)-subharmonic functions
- Some weighted energy classes of plurisubharmonic functions
- The complex Monge-Ampère operator on bounded domains in \(\mathbb C^n\)
- Monge-Ampère measures on pluripolar sets
- The Dirichlet problem for a complex Monge-Ampère equation
- On the Dirichlet problems for symmetric function equations of the eigenvalues of the complex Hessian
- The general definition of the complex Monge-Ampère operator.
- Weak solutions to the complex \(m\)-Hessian type equation on open subsets of \(\mathbb{C}^n\)
- Weak solutions to the complex Hessian type equations for arbitrary measures
- Weak solutions to the complex \(m\)-Hessian equation on open subsets of \(\mathbb{C}^n\)
- Weak solutions to the complex Monge-Ampère equation on open subsets of \(\mathbb{C}^n\)
- A variational approach to complex Hessian equations in \(\mathbb{C}^n\)
- Maximal \(m\)-subharmonic functions and the Cegrell class \(\mathcal{N}_m\)
- The equation of complex Monge-Ampère type and stability of solutions
- A priori estimates for complex Hessian equations
- Weak solutions to the complex Hessian equation.
- Modulus of continuity of solutions to complex Hessian equations
- Equations of complex Monge–Ampère type for arbitrary measures and applications
- The Monge–Ampère type equation in the weighted pluricomplex energy class
- Weak solutions to the complex Monge–Ampère equation on hyperconvex domains
- The complex Monge–Ampère equation in unbounded hyperconvex domains in ℂn
- On a Monge–Ampère type equation in the Cegrell class Eχ
- The complex Monge–Ampère operator
- A comparison principle for the complex Monge-Ampère operator in Cegrell’s classes and applications
- A general Dirichlet problem for the complex Monge–Ampère operator
- Plurisubharmonic functions with weak singularities
- Weak solutions of equations of complex Monge-Ampère type
- 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
- Subsolution theorem for the complex Hessian equation
- The domain of definition of the complex Monge-Ampere operator
- On the Dirichlet problem for the complex Monge-Ampère operator
This page was built for publication: Weak solutions to the complex \(m\)-Hessian type equations for arbitrary nonnegative Radon measures on open subsets of \(\mathbb{C}^n\)