Solutions to over-determined systems of partial differential equations related to Hamiltonian stationary Lagrangian surfaces

This article concerns the over-determined system of partial differential equations $$ Big(frac{k}{f}Big)_x+Big(frac{f}{k}Big)_y=0, quad frac{f_{y}}{k}=frac{k_x}{f},quad Big(frac{f_y}{k}Big)_y+Big(frac{k_x}{f}Big)_x=-varepsilon fk,. $$ It was shown in [6, Theorem 8.1] that this system with $v...

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Bibliographic Details
Main Author: Bang-Yen Chen
Format: Article
Language:English
Published: Texas State University 2012-05-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2012/83/abstr.html

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