Solvability of a critical semilinear problem with the spectral Neumann fractional Laplacian

DOI10.1090/SPMJ/1693zbMath1480.35398OpenAlexW4205664142MaRDI QIDQ5020284

N. S. Ustinov

Publication date: 5 January 2022

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/spmj/1693

zbMATH Keywords

fractional Laplaciansexistence problemsattainability of best constantspectral Neumann Laplacian

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Semilinear elliptic equations (35J61) Fractional partial differential equations (35R11)

Related Items (4)

The Neumann problem for a class of semilinear fractional equations with critical exponent ⋮ Variety of fractional Laplacians ⋮ Solutions with various structures for semilinear equations in \(\mathbb{R}^n\) driven by fractional Laplacian ⋮ On the constancy of the extremal function in the embedding theorem of fractional order

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