Elliptic problems in Besov and Sobolev—Triebel—Lizorkin spaces of low regularity





elliptic problem, Besov space, Sobolev space, Triebel–Lizorkin space, Fredholm operator


Elliptic problems with additional unknown distributions in boundary conditions are investigated in Besov and Sobolev–Triebel–Lizorkin spaces of low regularity, specifically of an arbitrary negative order. We find that the problems induce Fredholm bounded operators on appropriate pairs of these spaces.


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How to Cite

Chepurukhina, I., & Murach, A. (2021). Elliptic problems in Besov and Sobolev—Triebel—Lizorkin spaces of low regularity. Reports of the National Academy of Sciences of Ukraine, (6), 3–11. https://doi.org/10.15407/dopovidi2021.06.003