Geodesic
On solvability of a general elliptic boundary value problem in H\"older~--- Zygmund spaces with variable smoothness
Čelâbinskij fiziko-matematičeskij žurnal, Tome 9 (2024) no. 1, pp. 50-62

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Fredholm solvability of an elliptic boundary value problem, corresponding to the Green operator from the L. Boutet de Monvel algebra on a smooth manifold with compact boundary is studied in the paper. The Hölder — Zygmund spaces with variable smoothness are considered as function spaces. Sufficient conditions are given for the Fredholm property of the Green operator from the considered algebra in such spaces.
Keywords: Boutet de Monvel algebra, Fredholm property, Hölder-Zygmund spaces of variable smoothness, smooth manifold with compact boundary. 
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V. D. Kryakvin; G. P. Omarova. On solvability of a general elliptic boundary value problem in H\"older~--- Zygmund spaces with variable smoothness. Čelâbinskij fiziko-matematičeskij žurnal, Tome 9 (2024) no. 1, pp. 50-62. http://geodesic.mathdoc.fr/item/CHFMJ_2024_9_1_a3/