A fourth-order Cherrier–Escobar problem with prescribed corner behavior on the half-ball

Jeffrey S. Case; Yueh Ju Lin; Stephen E. McKeown; Cheikh Birahim Ndiaye; Paul Yang

doi:10.1016/j.jde.2025.113904

A fourth-order Cherrier–Escobar problem with prescribed corner behavior on the half-ball

Jeffrey S. Case
, Yueh Ju Lin
, Stephen E. McKeown
, Cheikh Birahim Ndiaye
, Paul Yang

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We show that the half-ball in R 4 can be conformally changed so that the only contribution to the Gauss–Bonnet formula is a constant term at the corner. This may be seen as a fourth-order Cherrier–Escobar-type problem on the half-ball.

Original language	English (US)
Article number	113904
Journal	Journal of Differential Equations
Volume	453
DOIs	https://doi.org/10.1016/j.jde.2025.113904
State	Published - Feb 5 2026

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

Keywords

Bilaplacian
Corner regularity
Gauss-Bonnet
Manifolds with corners
Q-curvature
T-curvature
U-curvature

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10.1016/j.jde.2025.113904

Cite this

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title = "A fourth-order Cherrier–Escobar problem with prescribed corner behavior on the half-ball",

abstract = "We show that the half-ball in R 4 can be conformally changed so that the only contribution to the Gauss–Bonnet formula is a constant term at the corner. This may be seen as a fourth-order Cherrier–Escobar-type problem on the half-ball.",

keywords = "Bilaplacian, Corner regularity, Gauss-Bonnet, Manifolds with corners, Q-curvature, T-curvature, U-curvature",

author = "Case, \{Jeffrey S.\} and Lin, \{Yueh Ju\} and McKeown, \{Stephen E.\} and Ndiaye, \{Cheikh Birahim\} and Paul Yang",

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doi = "10.1016/j.jde.2025.113904",

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AU - Case, Jeffrey S.

AU - Lin, Yueh Ju

AU - McKeown, Stephen E.

AU - Ndiaye, Cheikh Birahim

AU - Yang, Paul

PY - 2026/2/5

Y1 - 2026/2/5

N2 - We show that the half-ball in R 4 can be conformally changed so that the only contribution to the Gauss–Bonnet formula is a constant term at the corner. This may be seen as a fourth-order Cherrier–Escobar-type problem on the half-ball.

AB - We show that the half-ball in R 4 can be conformally changed so that the only contribution to the Gauss–Bonnet formula is a constant term at the corner. This may be seen as a fourth-order Cherrier–Escobar-type problem on the half-ball.

KW - Bilaplacian

KW - Corner regularity

KW - Gauss-Bonnet

KW - Manifolds with corners

KW - Q-curvature

KW - T-curvature

KW - U-curvature

UR - https://www.scopus.com/pages/publications/105021122603

UR - https://www.scopus.com/pages/publications/105021122603#tab=citedBy

U2 - 10.1016/j.jde.2025.113904

DO - 10.1016/j.jde.2025.113904

M3 - Article

AN - SCOPUS:105021122603

SN - 0022-0396

VL - 453

JO - Journal of Differential Equations

JF - Journal of Differential Equations

M1 - 113904

ER -

A fourth-order Cherrier–Escobar problem with prescribed corner behavior on the half-ball

Abstract

All Science Journal Classification (ASJC) codes

Keywords

Access to Document

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