On the regularity of Hamiltonian stationary Lagrangian submanifolds

DOI10.1016/j.aim.2018.11.020zbMath1417.35017arXiv1611.02641OpenAlexW2963823192WikidataQ128848083 ScholiaQ128848083MaRDI QIDQ1711915

Micah W. Warren, Chen, Jingyi

Publication date: 18 January 2019

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.02641

zbMATH Keywords

Laplace-Beltrami operatorEuler-Lagrange equationHamiltonian stationary Lagrangian submanifolds

Mathematics Subject Classification ID

Second-order elliptic equations (35J15) Elliptic equations on manifolds, general theory (58J05)

Related Items

Regularity for critical points of convex functionals on Hessian spaces ⋮ On the compactness of Hamiltonian stationary Lagrangian surfaces in Kähler surfaces ⋮ Regularity of Hamiltonian stationary equations in symplectic manifolds ⋮ Regularity for convex viscosity solutions of special Lagrangian equation ⋮ Compactification of the space of Hamiltonian stationary Lagrangian submanifolds with bounded total extrinsic curvature and volume ⋮ Hyperbolic mean curvature flow for Lagrangian graphs: one dimensional case ⋮ Interior Schauder estimates for the fourth order Hamiltonian stationary equation in two dimensions ⋮ Geometric regularity for elliptic equations in double-divergence form ⋮ Regularity of critical points of the volume functional for Lagrangian submanifolds ⋮ On the entire self-shrinking solutions to Lagrangian mean curvature flow. II. ⋮ Radial solutions of a fourth order Hamiltonian stationary equation

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