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Regularity of Hamiltonian stationary equations in symplectic manifolds.
- Source :
-
Advances in Mathematics . Jul2023, Vol. 424, pN.PAG-N.PAG. 1p. - Publication Year :
- 2023
-
Abstract
- In this paper, we prove that any C 1 -regular Hamiltonian stationary Lagrangian submanifold in a symplectic manifold is smooth. More broadly, we develop a regularity theory for a class of fourth order nonlinear elliptic equations with two distributional derivatives. Our fourth order regularity theory originates in the geometrically motivated variational problem for the volume functional, but should have applications beyond. [ABSTRACT FROM AUTHOR]
- Subjects :
- *SYMPLECTIC manifolds
*ELLIPTIC equations
*NONLINEAR equations
*EQUATIONS
Subjects
Details
- Language :
- English
- ISSN :
- 00018708
- Volume :
- 424
- Database :
- Academic Search Index
- Journal :
- Advances in Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 163636442
- Full Text :
- https://doi.org/10.1016/j.aim.2023.109059