The Neumann Problem for Special Lagrangian Equations with Critical Phase

Jun Wang

Communications in Mathematics and Statistics ›› 2019, Vol. 7 ›› Issue (3) : 329 -361.

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Communications in Mathematics and Statistics ›› 2019, Vol. 7 ›› Issue (3) : 329 -361. DOI: 10.1007/s40304-018-0157-6
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The Neumann Problem for Special Lagrangian Equations with Critical Phase

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Abstract

In this paper, we consider the Neumann problem for special Lagrangian equations with critical phase. The global gradient and Hessian estimates are obtained. Using the method of continuity, we prove the existence of solutions to this problem.

Keywords

Special Lagrangian equation / Neumann boundary condition / Critical phase

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Jun Wang. The Neumann Problem for Special Lagrangian Equations with Critical Phase. Communications in Mathematics and Statistics, 2019, 7(3): 329-361 DOI:10.1007/s40304-018-0157-6

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