Solutions of the minimal surface equation and of the Monge–Ampère equation near infinity
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Qing Han
Abstract
Classical results assert that, under appropriate assumptions, solutions near infinity are asymptotic to linear functions for the minimal surface equation and to quadratic polynomials for the Monge–Ampère equation for dimension
Funding source: National Science Foundation
Award Identifier / Grant number: DMS-2305038
Funding source: National Natural Science Foundation of China
Award Identifier / Grant number: 12401247
Award Identifier / Grant number: 2023A1515110910
Funding statement: Qing Han is supported in part by the National Science Foundation under grant DMS-2305038. Zhehui Wang is supported in part by Young Scientists Fund of the National Natural Science Foundation of China under grant 12401247, and Guangdong Basic and Applied Basic Research Foundation under grant 2023A1515110910.
Acknowledgements
The authors would like to thank Joel Spruck for helpful discussions, and the referee for helpful suggestions. Zhehui Wang thanks Jie Chen for helpful suggestions.
References
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© 2024 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- Covariant projective representations of Hilbert–Lie groups
- Solutions of the minimal surface equation and of the Monge–Ampère equation near infinity
- A Lindemann–Weierstrass theorem for 𝐸-functions
- Topology and dynamics of compact plane waves
- Diameter of Kähler currents
- CscK metrics near the canonical class
- On 3-nondegenerate CR manifolds in dimension 7 (I): The transitive case
- The rigidity of eigenvalues on Kähler manifolds with positive Ricci lower bound
- Hodge–Tate stacks and non-abelian 𝑝-adic Hodge theory of v-perfect complexes on rigid spaces
Artikel in diesem Heft
- Frontmatter
- Covariant projective representations of Hilbert–Lie groups
- Solutions of the minimal surface equation and of the Monge–Ampère equation near infinity
- A Lindemann–Weierstrass theorem for 𝐸-functions
- Topology and dynamics of compact plane waves
- Diameter of Kähler currents
- CscK metrics near the canonical class
- On 3-nondegenerate CR manifolds in dimension 7 (I): The transitive case
- The rigidity of eigenvalues on Kähler manifolds with positive Ricci lower bound
- Hodge–Tate stacks and non-abelian 𝑝-adic Hodge theory of v-perfect complexes on rigid spaces
