Explicit forms for extremals of sharp Sobolev trace inequalities on the unit balls
type: Item
instance of: scholarly article
title: Explicit forms for extremals of sharp Sobolev trace inequalities on the unit balls
zbMATH Open document ID: 1547.3526
author: Cheikh Birahim Ndiaye
author: Liming Sun
published in: Calculus of Variations and Partial Differential Equations
publication date: 2024-07-18T00:00:00Z
Mathematics Subject Classification ID: 35J40
Mathematics Subject Classification ID: 31B30
Mathematics Subject Classification ID: 46E35
zbMATH DE Number: 7882884
zbMATH Keywords: biharmonic equation
zbMATH Keywords: Sobolev trace inequalities
MaRDI profile type: Publication
cites work: Sobolev trace inequalities of order four
cites work: Sharp Sobolev inequalities on the sphere and the Moser-Trudinger inequality
cites work: Boundary operators associated with the Paneitz operator
cites work: On fractional GJMS operators
cites work: The zeta functional determinants on manifolds with boundary. I: The formula
cites work: Classification of solutions for an integral equation
cites work: Q3818662
cites work: \(Q\)-curvature and Poincaré metrics
cites work: Q3084648
cites work: Existence and asymptotics for solutions of a non-local Q-curvature equation in dimension three
cites work: Q5807023
cites work: Remark on some conformally invariant integral equations: the method of moving spheres
cites work: A classification of solutions of a conformally invariant fourth order equation in \(\mathbb{R}^n\)
cites work: The concentration-compactness principle in the calculus of variations. The limit case. I
cites work: Classification of solutions to the higher order Liouville's equation on \({\mathbb{R}^{2m}}\)
cites work: Higher order Sobolev trace inequalities on balls revisited
cites work: Extremals of determinants of Laplacians
cites work: Classification theorems for solutions of higher order boundary conformally invariant problems. I.
cites work: Uniqueness and non-existence theorems for conformally invariant equations
DOI: 10.1007/S00526-024-02787-5
description: scientific article; zbMATH DE number 7882884