The Levi Monge-Ampère equation: smooth regularity of strictly Levi convex solutions
From MaRDI portal
Publication:1769163
DOI10.1007/BF02922076zbMath1217.35082MaRDI QIDQ1769163
Annamaria Montanari, Francesca Lascialfari
Publication date: 18 March 2005
Published in: The Journal of Geometric Analysis (Search for Journal in Brave)
nonlinear vector fieldsfully nonlinear degenerate elliptic PDELevi Monge-Ampère equationsmooth regularity of strictly Levi convex solutions
Related Items (6)
Fundamental solutions and local solvability for nonsmooth Hörmander’s operators ⋮ Unnamed Item ⋮ Non-divergence equations structured on Hörmander vector fields: heat kernels and Harnack inequalities ⋮ Existence and uniqueness of Lipschitz continuous graphs with prescribed Levi curvature ⋮ The Role of Fundamental Solution in Potential and Regularity Theory for Subelliptic PDE ⋮ Basic properties of nonsmooth Hörmander's vector fields and Poincaré's inequality
Cites Work
- Balls and metrics defined by vector fields. I: Basic properties
- Fundamental solutions and geometry of the sum of squares of vector fields
- Weak solutions for the Levi equation and envelope of holomorphy
- Subelliptic estimates and function spaces on nilpotent Lie groups
- Hypoelliptic differential operators and nilpotent groups
- \(C^\infty\) regularity of solutions of the Levi equation
- \(C^{\infty }\) regularity of solutions of an equation of Levi's type in \(\mathbb{R}^{2n+1}\)
- Smoothness of Lipschitz-continuous graphs with nonvanishing Levi curvature
- Geometric properties of solutions of the Levi-equation
- On the smoothness of viscosity solutions of the prescribed Levi-curvature equation
- Hypoelliptic second order differential equations
- Smooth regularity for solutions of the Levi Monge-Amperère equation
- Regularity properties of solutions of a class of elliptic-parabolic nonlinear Levi type equations
- The dirichlet problem for nonlinear second-order elliptic equations. II. Complex monge-ampère, and uniformaly elliptic, equations
- Regularity for quasilinear second‐order subelliptic equations
- Estimates for the \documentclass{article}\pagestyle{empty}\begin{document}$ \mathop \partial \limits^ - _b $\end{document} complex and analysis on the heisenberg group
- Elliptic Partial Differential Equations of Second Order
- The Levi Equation in Higher Dimensions and Relationships to the Envelope of Holomorphy
- Several Complex Variables and the Geometry of Real Hypersurfaces
- Regularity properties of Levi flat graphs
- Capacitary estimates and the local behavior of solutions of nonlinear subelliptic equations
- Analytic estimates for solutions of the Levi equations
- Strong solutions for the Levi curvature equation.
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: The Levi Monge-Ampère equation: smooth regularity of strictly Levi convex solutions
