A viscosity approach to the Dirichlet problem for complex Monge-Ampère equations
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Publication:455637
DOI10.1007/s00209-011-0946-zzbMath1267.32040arXiv1010.1292OpenAlexW2121839247MaRDI QIDQ455637
Publication date: 22 October 2012
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1010.1292
Related Items (15)
A viscosity approach to the Dirichlet problem for degenerate complex Hessian-type equations ⋮ Viscosity solutions to quaternionic Monge-Ampère equations ⋮ Hessian measures on m-polar sets and applications to the complex Hessian equations ⋮ Solutions to degenerate complex Hessian equations ⋮ A viscosity approach to degenerate complex Monge-Ampère equations ⋮ Viscosity solutions to complex first eigenvalue equations ⋮ Uniform estimates for concave homogeneous complex degenerate elliptic equations comparable to the Monge-Ampère equation ⋮ Differential tests for plurisubharmonic functions and Koch curves ⋮ Open problems in pluripotential theory ⋮ Weak solutions to the complex \(m\)-Hessian equation on open subsets of \(\mathbb{C}^n\) ⋮ Weak solutions to degenerate complex Monge-Ampère flows. I ⋮ Local singularities of plurisubharmonic functions ⋮ Viscosity solutions to parabolic complex Monge-Ampère equations ⋮ A variational approach to complex Hessian equations in \(\mathbb{C}^n\) ⋮ Weak solutions to degenerate complex Monge-Ampère flows. II
Cites Work
- Unnamed Item
- Interior a priori estimates for solutions of fully nonlinear equations
- Monge-Ampère equations in big cohomology classes
- Interior \(W^{2,p}\) estimates for solutions of the Monge-Ampère equation
- A localization property of viscosity solutions to the Monge-Ampère equation and their strict convexity
- Viscosity solutions of fully nonlinear second-order elliptic partial differential equations
- The Dirichlet problem for the complex Monge-Ampère operator: Stability in \(L^ 2\)
- The complex Monge-Ampère equation
- A correction to ``The Dirichlet problem for complex Monge-Ampère equations and regularity of the pluri-complex Green function
- On uniform estimate in Calabi-Yau theorem
- Viscosity solutions to degenerate complex monge-ampère equations
- Singular Kähler-Einstein metrics
- Dirichlet duality and the nonlinear Dirichlet problem
- The dirichlet problem for nonlinear second-order elliptic equations. II. Complex monge-ampère, and uniformaly elliptic, equations
- User’s guide to viscosity solutions of second order partial differential equations
- The Monge-Ampère equation
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