On the constancy of the extremal function in the embedding theorem of fractional order

DOI10.1134/S0016266320040073zbMath1479.46047arXiv2011.10811OpenAlexW3170284200MaRDI QIDQ2038443

N. S. Ustinov

Publication date: 7 July 2021

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.10811

zbMATH Keywords

fractional Laplace operatorsconstancy of the minimizerspectral Dirichlet Laplacian

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items (1)

Solutions with various structures for semilinear equations in \(\mathbb{R}^n\) driven by fractional Laplacian

Cites Work

• A generic property for the eigenfunctions of the Laplacian
• Best constants for Sobolev inequalities for higher order fractional derivatives
• On the Sobolev and Hardy constants for the fractional Navier Laplacian
• On Fractional Laplacians
• Solvability of a critical semilinear problem with the spectral Neumann fractional Laplacian
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