Geodesic
A note on the solvability of homogeneous Riemann boundary problem with infinity index
Communications in Mathematics, Tome 29 (2021) no. 3, pp. 527-534.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

In this note we establish a necessary and sufficient condition for solvability of the homogeneous Riemann boundary problem with infinity index on a rectifiable open curve. The index of the problem we deal with considers the influence of the requirement of the solutions of the problem, the degree of non-smoothness of the curve at the endpoints as well as the behavior of the coefficient at these points.
Classification : 30D20, 30E20, 30E25
Keywords: Riemann boundary value problem; Phragm\`{e}n Lindel\"of principle. 
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     author = {Bory-Reyes, Juan},
     title = {A note on the solvability of homogeneous {Riemann} boundary problem with infinity index},
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Bory-Reyes, Juan. A note on the solvability of homogeneous Riemann boundary problem with infinity index. Communications in Mathematics, Tome 29 (2021) no. 3, pp. 527-534. http://geodesic.mathdoc.fr/item/COMIM_2021__29_3_a14/