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

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Authors
Case, Jeffrey S.
Lin, Yueh-Ju
McKeown, Stephen E.
Ndiaye, Cheikh Birahim
Yang, Paul
Advisors
Issue Date
2026-02-05
Type
Article
Keywords
Bilaplacian , Corner regularity , Gauss-bonnet , Manifolds with corners , Q-curvature , T-curvature , U-curvature
Research Projects
Organizational Units
Journal Issue
Citation
Case, J. S., Lin, Y.-J., McKeown, S. E., Ndiaye, C. B., & Yang, P. (2025). A fourth-order Cherrier-Escobar problem with prescribed corner behavior on the half-ball. Journal of Differential Equations, 453, 113904-113904. https://doi.org/10.1016/j.jde.2025.113904.
Abstract

We show that the half-ball in 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.

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Publisher
Elsevier
Journal
Journal of Differential Equations
Book Title
Series
URI
https://hdl.handle.net/10057/31347
PubMed ID
DOI
10.1016/j.jde.2025.113904
ISSN
220396
EISSN
Collections
MATH Research Publications