Interior Hölder estimate for the linearized complex Monge-Ampère equation
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Publication:6597639
DOI10.1007/S00526-024-02814-5zbMATH Open1547.35129MaRDI QIDQ6597639
Publication date: 3 September 2024
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
A priori estimates in context of PDEs (35B45) Second-order elliptic equations (35J15) Monge-Ampère equations (35J96)
Cites Work
- Variational solutions to extremal metrics on toric surfaces
- The interior regularity of the Calabi flow on a toric surface
- Interior gradient estimates for solutions to the linearized Monge-Ampère equation
- Global \(W^{2,p}\) regularity on the linearized Monge-Ampère equation with \(\text{VMO}\) Type coefficients
- Interior \(C^{1,\alpha}\) regularity for the linearized Monge-Ampère equation with VMO type coefficients
- Boundary regularity for solutions to the linearized Monge-Ampère equations
- Properties of the solutions of the linearized Monge-Ampere equation
- Sharp regularity results on second derivatives of solutions to the Monge-Ampère equation with VMO type data
- Elliptic Partial Differential Equations of Second Order
- Real analysis related to the Monge-Ampère equation
- On the constant scalar curvature Kähler metrics (I)—A priori estimates
- Interior second derivative estimates for solutions to the linearized Monge-Ampère equation
- Boundary Harnack inequality for the linearized Monge-Ampère equations and applications
- Small Perturbation Solutions for Elliptic Equations
- Interior \(W^{2, p}\) estimate for small perturbations to the complex Monge-Ampère equation
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