Radial solutions of a fourth order Hamiltonian stationary equation
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Publication:6280625
DOI10.1016/J.JDE.2018.04.011arXiv1612.02852WikidataQ129922366 ScholiaQ129922366MaRDI QIDQ6280625
Publication date: 8 December 2016
Abstract: We consider smooth radial solutions to the Hamiltonian stationary equation which are defined away from the origin. We show that in dimension two all radial solutions on unbounded domains must be special Lagrangian. In contrast, for all higher dimensions there exist non-special Lagrangian radial solutions over unbounded domains; moreover, near the origin, the gradient graph of such a solution is continuous if and only if the graph is special Lagrangian.
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