Extremal Sections for a Trudinger–Moser Functional on Vector Bundle over a Closed Riemann Surface

Author:

Yang Jie,Yang Yunyan

Publisher

Springer Science and Business Media LLC

Subject

Geometry and Topology

Reference41 articles.

1. Adimurthi, O.D.: Blow-up analysis in dimension 2 and a sharp form of Trudinger–Moser inequality. Commun. Partial Differ. Equ. 29(1–2), 295–322 (2004)

2. Carleson, L., Chang, S.-Y.A.: On the existence of an extremal function for an inequality of J. Moser. Bull. Sci. Math. (2) 110(2), 113–127 (1986)

3. Chen, W.X., Li, C.: Classification of solutions of some nonlinear elliptic equations. Duke Math. J. 63(3), 615–622 (1991)

4. Csató, G., Nguyen, V.H., Roy, P.: Extremals for the singular Moser–Trudinger inequality via $$n$$-harmonic transplantation. J. Differ. Equ. 270, 843–882 (2021)

5. Csató, G., Roy, P.: Extremal functions for the singular Moser–Trudinger inequality in 2 dimensions. Calc. Var. Partial Differ. Equ. 54(2), 2341–2366 (2015)

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. A mean field type equation on vector bundles;Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas;2024-06-17

2. Blow-up analysis on line bundles over a compact Riemann surface with smooth boundary;Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas;2024-05-22

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