Blow-up behavior of a fractional Adams–Moser–Trudinger-type inequality in odd dimension

DOI10.1080/03605302.2016.1222544zbMath1372.35342arXiv1504.00254OpenAlexW3100513578MaRDI QIDQ2955370

Armin Schikorra, Luca Martinazzi, Ali Maalaoui

Publication date: 25 January 2017

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.00254

zbMATH Keywords

quantizationfractional Laplacian\(Q\)-curvatureMoser-Trudinger inequality

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Higher-order elliptic equations (35J30) Semilinear elliptic equations (35J61) Blow-up in context of PDEs (35B44) Fractional partial differential equations (35R11)

Related Items (11)

Moser functions and fractional Moser-Trudinger type inequalities ⋮ The Moser-Trudinger inequality and its extremals on a disk via energy estimates ⋮ Regularity for a fractional p-Laplace equation ⋮ \(L^p\) theory for fractional gradient PDE with \(VMO\) coefficients ⋮ The nonlocal mean-field equation on an interval ⋮ Fractional Adams-Moser-Trudinger type inequalities ⋮ On the loss of maximum principles for higher-order fractional Laplacians ⋮ Boundary equations and regularity theory for geometric variational systems with Neumann data ⋮ Extremals for fractional Moser-Trudinger inequalities in dimension 1 via harmonic extensions and commutator estimates ⋮ Improved Adams-type inequalities and their extremals in dimension 2m ⋮ On solutions for a class of fractional Kirchhoff-type problems with Trudinger–Moser nonlinearity

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