Existence and uniqueness of Lipschitz continuous graphs with prescribed Levi curvature
From MaRDI portal
Publication:2490957
DOI10.1016/j.anihpc.2004.10.006zbMath1293.35107OpenAlexW2078235386MaRDI QIDQ2490957
Annamaria Montanari, Francesca Da Lio
Publication date: 18 May 2006
Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=AIHPC_2006__23_1_1_0
Maximum principles in context of PDEs (35B50) Nonlinear elliptic equations (35J60) Viscosity solutions to PDEs (35D40) Monge-Ampère equations (35J96)
Related Items
Double ball property for non-divergence horizontally elliptic operators on step two Carnot groups ⋮ Harnack inequality for a subelliptic PDE in nondivergence form ⋮ Graphs with prescribed Levi form trace ⋮ Non-divergence equations structured on Hörmander vector fields: heat kernels and Harnack inequalities ⋮ The Role of Fundamental Solution in Potential and Regularity Theory for Subelliptic PDE
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A weak Bernstein method for fully non-linear elliptic equations
- Perron's method for Hamilton-Jacobi equations
- Viscosity solutions of fully nonlinear second-order elliptic partial differential equations
- Weak solutions for the Levi equation and envelope of holomorphy
- Viscosity solutions of Hamilton-Jacobi equations
- Remarks on the Dirichlet and state-constraint problems for quasilinear parabolic equations.
- Smoothness of Lipschitz-continuous graphs with nonvanishing Levi curvature
- The Levi Monge-Ampère equation: smooth regularity of strictly Levi convex solutions
- Pseudoconvex fully nonlinear partial differential operators: strong comparison theorems
- The Dirichlet problem for the prescribed curvature equations
- Viscosity Solutions of Hamilton-Jacobi Equations
- User’s guide to viscosity solutions of second order partial differential equations
- Elliptic Partial Differential Equations of Second Order
- The Levi Equation in Higher Dimensions and Relationships to the Envelope of Holomorphy
- COMPARISON RESULTS FOR QUASILINEAR EQUATIONS IN ANNULAR DOMAINS AND APPLICATIONS1*
- Several Complex Variables and the Geometry of Real Hypersurfaces
- Notions of convexity
- Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations