Martin boundary and positive solutions of some boundary value problems
Annales de l'Institut Fourier, Volume 15 (1965) no. 1, pp. 275-282.

Nous étudions le problème de Neumann avec dérivée oblique dans un domaine 2-dimensionnel borné par un contour régulier C. Le champ vectoriel donné sur C peut être tangent à C en un nombre fini de points. En utilisant une extension de la méthode de Martin nous trouvons toutes les solutions positives de ce problème aux valeurs limites.

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     title = {Martin boundary and positive solutions of some boundary value problems},
     journal = {Annales de l'Institut Fourier},
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Dynkin, Evgeny B. Martin boundary and positive solutions of some boundary value problems. Annales de l'Institut Fourier, Volume 15 (1965) no. 1, pp. 275-282. doi : 10.5802/aif.206. http://archive.numdam.org/articles/10.5802/aif.206/

[1] R. S. Martin, Minimal positive harmonic functions, Trans. Am. Math. Soc., 49 (1941), 137-172. | JFM | Zbl

[2] M. Б. Малютов, Броуновское движение с отражением и задача с наклонной проИзводной, ДокладьІ АН СССР, (1964). Added in proof. The proofs of the Theorems 1-6 are published in:

[3] Е. Б. Дынкин, Границы Мартина и неотрицателЬные решения краевой задачи с наклонной производной, Успехи матем наук, 19:5 (1964), 3-50.

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