We obtain a Bernstein theorem for special Lagrangian graphs in for arbitrary only assuming bounded slope but no quantitative restriction.
A Bernstein problem for special Lagrangian equations
β Scribed by Yu Yuan
- Publisher
- Springer-Verlag
- Year
- 2002
- Tongue
- English
- Weight
- 102 KB
- Volume
- 150
- Category
- Article
- ISSN
- 0020-9910
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π SIMILAR VOLUMES
## Abstract We derive a priori interior Hessian estimates for special Lagrangian equations when the potential is convex. When the phase is very large, we show that continuous viscosity solutions are smooth in the interior of the domain. Β© 2008 Wiley Periodicals, Inc.
All the entire solutions to the maximal surface equation in certain 3-dimensional Lorentzian manifolds, obeying the null energy condition, are obtained. Thus, we solve new Calabi-Bernstein problems. As a consequence, the corresponding parametric versions are also given. The behaviour of this Calabi-