no. 1
A Riemann-Hilbert problem and the Bernoulli boundary condition in the variational theory of Stokes waves
Annales de l'I.H.P. Analyse non linéaire, Tome 20 (2003) no. 1, pp. 37-52 
@article{AIHPC_2003__20_1_37_0,
     author = {Shargorodsky, E. and Toland, J. F.},
     title = {A {Riemann-Hilbert} problem and the {Bernoulli} boundary condition in the variational theory of {Stokes} waves},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     pages = {37--52},
     year = {2003},
     publisher = {Elsevier},
     volume = {20},
     number = {1},
     zbl = {1045.35113},
     mrnumber = {1958161},
     language = {en},
     url = {https://www.numdam.org/item/AIHPC_2003__20_1_37_0/}
}
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Shargorodsky, E.; Toland, J. F. A Riemann-Hilbert problem and the Bernoulli boundary condition in the variational theory of Stokes waves. Annales de l'I.H.P. Analyse non linéaire, Tome 20 (2003) no. 1, pp. 37-52. https://www.numdam.org/item/AIHPC_2003__20_1_37_0/

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