Extremals for fractional Moser-Trudinger inequalities in dimension 1 via harmonic extensions and commutator estimates

DOI10.1515/ans-2020-2089zbMath1445.35308arXiv1904.10267OpenAlexW3025649721MaRDI QIDQ783322

Gabriele Mancini, Luca Martinazzi

Publication date: 12 August 2020

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.10267

zbMATH Keywords

fractional Laplaciancommutator estimates

Mathematics Subject Classification ID

Semilinear elliptic equations (35J61) Blow-up in context of PDEs (35B44) Fractional partial differential equations (35R11) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23) Green's functions for elliptic equations (35J08)

Related Items (10)

Sharp critical and subcritical trace Trudinger-Moser and Adams inequalities on the upper half-spaces ⋮ Improved Trudinger–Moser inequality involving Lp-norm on a closed Riemann surface with isometric group actions ⋮ Gagliardo-Nirenberg type inequalities on Lorentz, Marcinkiewicz and weak-𝐿^{∞} spaces ⋮ Critical and supercritical Adams' inequalities with logarithmic weights ⋮ Existence of sign-changing radial solutions with prescribed numbers of zeros for elliptic equations with the critical exponential growth in ℝ² ⋮ Improved fractional Trudinger-Moser inequalities on bounded intervals and the existence of their extremals ⋮ Extremal functions for a class of trace Trudinger-Moser inequalities on a compact Riemann surface with smooth boundary ⋮ Improved Adams-type inequalities and their extremals in dimension 2m ⋮ Sharp threshold nonlinearity for maximizing the Trudinger-Moser inequalities ⋮ Critical trace Trudinger-Moser inequalities on a compact Riemann surface with smooth boundary

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