\(C^{2,\alpha}\)-estimate for Monge-Ampère equations with Hölder-continuous right hand side
From MaRDI portal
Publication:258031
DOI10.1007/s10455-015-9487-8zbMath1347.35118arXiv1406.5825OpenAlexW2264533260MaRDI QIDQ258031
Publication date: 17 March 2016
Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1406.5825
A priori estimates in context of PDEs (35B45) Nonlinear boundary value problems for nonlinear elliptic equations (35J66) Monge-Ampère equations (35J96)
Related Items
\(\mathrm{G}_2\) manifolds with nodal singularities along circles ⋮ Kähler metrics with cone singularities along a divisor of bounded Ricci curvature ⋮ Conic singularities metrics with prescribed scalar curvature: a priori estimates for normal crossing divisors ⋮ Calabi-Yau metrics with conical singularities along line arrangements ⋮ On the constant scalar curvature Kähler metrics (I)—A priori estimates ⋮ On the constant scalar curvature Kähler metrics (II)—Existence results ⋮ The Green's function for equations with conic metrics ⋮ A \(\mathcal{C}^{2, \alpha}\) estimate of the complex Monge-Ampère equation ⋮ Some new estimates for the complex Monge-Ampère equation ⋮ Gravitational instantons with faster than quadratic curvature decay. III.
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Conic singularities metrics with prescribed Ricci curvature: general cone angles along normal crossing divisors
- Interior a priori estimates for solutions of fully nonlinear equations
- Convergence and rigidity of manifolds under Ricci curvature bounds
- A priori estimates and a Liouville theorem for complex Monge-Ampère equations
- The Dini condition and regularity of weak solutions of elliptic equations
- Schauder estimates by scaling
- On the regularity problem of complex Monge-Ampere equations with conical singularities
- On the long time behaviour of the conical Kähler-Ricci flows
- \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator
- Improper affine hyperspheres of convex type and a generalization of a theorem by K. Jörgens
- Schauder estimates for elliptic and parabolic equations
- On the regularity of solutions to fully nonlinear elliptic equations via the Liouville property
- Geodesics in the space of Kähler cone metrics, I
- Classical solutions of fully nonlinear, convex, second-order elliptic equations
- On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I
- Fully nonlinear elliptic equations and the dini condition
- ON THE CLASSICAL SOLUTION OF NONLINEAR ELLIPTIC EQUATIONS OF SECOND ORDER
- The $\mathcal C^{2,\alpha}$ estimate of complex Monge-Ampere equation
- Kähler Metrics with Cone Singularities Along a Divisor
- Ricci Flat Kähler Metrics with Edge Singularities
- Kähler-Einstein metrics on Fano manifolds. II: Limits with cone angle less than \boldmath2𝜋
- Kähler-Einstein metrics with edge singularities
