A fractional Moser-Trudinger type inequality in one dimension and its critical points.

zbMath1363.26011arXiv1504.04862MaRDI QIDQ265210

Luca Martinazzi, Ali Maalaoui, Stefano Iula

Publication date: 1 April 2016

Published in: Differential and Integral Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.04862

zbMATH Keywords

Sobolev spacefractional derivativefractional LaplacianBessel potential spaceMoser-Trudinger-type inequality

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Fractional derivatives and integrals (26A33) Fractional partial differential equations (35R11)

Related Items (30)

Long-time behavior of solutions for a system of \(N\)-coupled nonlinear dissipative half-wave equations ⋮ Trudinger-Moser inequalities in fractional Sobolev-Slobodeckij spaces and multiplicity of weak solutions to the fractional-Laplacian equation ⋮ Adams inequality with exact growth in the hyperbolic space ℍ4 and Lions lemma ⋮ Sharp critical and subcritical trace Trudinger-Moser and Adams inequalities on the upper half-spaces ⋮ Moser functions and fractional Moser-Trudinger type inequalities ⋮ The Moser-Trudinger inequality and its extremals on a disk via energy estimates ⋮ Bifurcation results for problems with fractional Trudinger-Moser nonlinearity ⋮ Sharp exponential integrability for critical Riesz potentials and fractional Laplacians on \(\mathbb{R}^n\) ⋮ Critical and subcritical fractional Trudinger-Moser-type inequalities on \(\mathbb{R}\) ⋮ Fractional Hamiltonian type system on \(\mathbb{R}\) with critical growth nonlinearity ⋮ Fine bounds for best constants of fractional subcritical Sobolev embeddings and applications to nonlocal PDEs ⋮ Remarks on the fractional Moser-Trudinger inequality ⋮ Improved fractional Trudinger-Moser inequalities on bounded intervals and the existence of their extremals ⋮ Multiplicity results for fractional magnetic problems involving exponential growth ⋮ Multiplicity and concentration of solutions to fractional anisotropic Schrödinger equations with exponential growth ⋮ Existence of solution for a class of fractional Hamiltonian-type elliptic systems with exponential critical growth in R ⋮ The nonlocal mean-field equation on an interval ⋮ Fractional Adams-Moser-Trudinger type inequalities ⋮ On a fractional Kirchhoff type problem with critical exponential growth nonlinearity ⋮ On solutions for fractional \(N/s\)-Laplacian equations involving exponential growth ⋮ Singular Trudinger-Moser inequality and fractional \(p\)-Laplace equations in \(\mathbb{R}^N\) ⋮ Fractional Trudinger-Moser type inequalities in one dimension ⋮ Maximizers for fractional Caffarelli-Kohn-Nirenberg and Trudinger-Moser inequalities on the fractional Sobolev spaces ⋮ On the Moser-Trudinger inequality in fractional Sobolev-Slobodeckij spaces ⋮ Existence of solutions for a fractional Choquard-type equation in \(\mathbb{R}\) with critical exponential growth ⋮ Multiplicity of solutions for a class of fractional elliptic problems with critical exponential growth and nonlocal Neumann condition ⋮ Global attractor for a one dimensional weakly damped half-wave equation ⋮ Semiclassical states of fractional Choquard equations with exponential critical growth ⋮ Extremals for fractional Moser-Trudinger inequalities in dimension 1 via harmonic extensions and commutator estimates ⋮ On solutions for a class of fractional Kirchhoff-type problems with Trudinger–Moser nonlinearity

This page was built for publication: A fractional Moser-Trudinger type inequality in one dimension and its critical points.