On the Dirichlet problem for Lagrangian phase equation with critical and supercritical phase
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Publication:6042878
DOI10.3934/dcds.2023020zbMath1514.35188arXiv2204.05420OpenAlexW4323025236MaRDI QIDQ6042878
Publication date: 4 May 2023
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2204.05420
Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25) Nonlinear elliptic equations (35J60)
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Cites Work
- Unnamed Item
- Singular solution to special Lagrangian equations
- Calibrated geometries
- The Dirichlet problem for nonlinear second order elliptic equations. III: Functions of the eigenvalues of the Hessian
- On the Dirichlet problem for Hessian equations
- Asymptotic behavior of flows by powers of the Gaussian curvature
- \((1,1)\) forms with specified Lagrangian phase: \textit{a priori} estimates and algebraic obstructions
- Hessian estimates for Lagrangian mean curvature equation
- Concavity of the Lagrangian phase operator and applications
- Nonclassical solutions of fully nonlinear elliptic equations
- Singular solutions to special Lagrangian equations with subcritical phases and minimal surface systems
- Global solutions to special Lagrangian equations
- Hessian and gradient estimates for three dimensional special Lagrangian equations with large phase
- Hessian estimates for the sigma‐2 equationin dimension 3
- A priori estimate for convex solutions to special Lagrangian equations and its application
- The dirichlet problem for nonlinear second-order elliptic equations I. Monge-ampégre equation
- Classical solutions of fully nonlinear, convex, second-order elliptic equations
- Hessian estimates for special Lagrangian equations with critical and supercritical phases in general dimensions
- Sobolev and mean‐value inequalities on generalized submanifolds of Rn