A fractional Moser-Trudinger type inequalitiy in one dimension and its critical points
Stefano Iula, Ali Maalaoui, Luca Martinazzi
TL;DR
This paper investigates a sharp fractional Moser-Trudinger inequality in one dimension, exploring its compactness properties and identifying critical points of an associated functional.
Contribution
It introduces a new fractional Moser-Trudinger inequality in one dimension and analyzes the critical points of related functionals.
Findings
Establishment of a sharp fractional Moser-Trudinger inequality in 1D
Analysis of the compactness properties of the inequality
Identification of critical points of the associated functional
Abstract
We study a sharp fractional Moser-Trudinger type inequality in dimension 1, its compactness properties and the critical points of a functional associeted to the inequality.
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Taxonomy
TopicsNonlinear Partial Differential Equations · Advanced Mathematical Modeling in Engineering · Analytic and geometric function theory