On the second boundary value problem for special Lagrangian curvature potential equation
DOI10.1007/s00209-022-03060-1zbMath1506.53081arXiv2104.00372OpenAlexW3143133728MaRDI QIDQ2163309
Publication date: 10 August 2022
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2104.00372
continuity methodLegendre transformationboundary defining functionglobally smooth convex solutionsspecial Lagrangian curvature operator
Nonlinear boundary value problems for linear elliptic equations (35J65) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global surface theory (convex surfaces à la A. D. Aleksandrov) (53C45)
Cites Work
- Unnamed Item
- Unnamed Item
- On the second boundary value problem for a class of fully nonlinear flows. II
- Boundary regularity of maps with convex potentials. II
- Weingarten hypersurfaces with prescribed gradient image
- A boundary value problem for minimal Lagrangian graphs
- Calibrated geometries
- Classical solvability in dimension two of the second boundary-value problem associated with the Monge-Ampère operator
- Neumann and second boundary value problems for Hessian and Gauß curvature flows
- Elliptic partial differential equations of second order
- On the second boundary value problem for a class of fully nonlinear equations
- Nonlinear oblique boundary value problems for two-dimensional curvature equations
- Special Lagrangian curvature
- Pseudoconvexity for the special Lagrangian potential equation
- On the second boundary value problem for Lagrangian mean curvature flow
- Calibrations associated to Monge-Ampère equations
- On the second boundary value problem for equations of Monge-Ampère type.
- An interior curvature bound for hypersurfaces of prescribed k-th mean curvature
- On the Second Boundary Value Problem for a Class of Fully Nonlinear Flows I
This page was built for publication: On the second boundary value problem for special Lagrangian curvature potential equation