Maximizers for fractional Caffarelli-Kohn-Nirenberg and Trudinger-Moser inequalities on the fractional Sobolev spaces

DOI10.1007/s12220-020-00406-1zbMath1465.35206OpenAlexW3018957087MaRDI QIDQ2024679

Guozhen Lu, Caifeng Zhang, Lu Chen

Publication date: 4 May 2021

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12220-020-00406-1

zbMATH Keywords

fractional \(p\)-Laplacian equationfractional Caffarelli-Kohn-Nirenberg inequalitiesfractional Trudinger-Moser inequalities

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Nonlinear elliptic equations (35J60) Fractional partial differential equations (35R11) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (3)

Sharp critical and subcritical trace Trudinger-Moser and Adams inequalities on the upper half-spaces ⋮ Caffarelli-Kohn-Nirenberg identities, inequalities and their stabilities ⋮ Caffarelli-Kohn-Nirenberg inequalities for curl-free vector fields and second order derivatives

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