A Trudinger–Moser inequality for a conical metric in the unit ball

Author:

Yang Yunyan,Zhu Xiaobao

Funder

National Natural Science Foundation of China

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference41 articles.

1. Adimurthi-Sandeep, K.: A singular Moser–Trudinger embedding and its applications. Nonlinear Differ. Equ. Appl. 13, 585–603 (2007)

2. Adimurthi-Yang, Y.: An interpolation of Hardy inequality and Trudinger–Moser inequality in $${\mathbb{R}}^N$$ R N and its applications. Int. Math. Res. Notices 13, 2394–2426 (2010)

3. Bonheure, D., Serra, E., Tarallo, M.: Symmetry of extremal functions in Moser–Trudinger inequalities and a Hénon type problem in dimension two. Adv. Differ. Equ. 13, 105–138 (2008)

4. Calanchi, M., Terraneo, E.: Non-radial maximizers for functionals with exponential non-linearity in $${\mathbb{R}}^2$$ R 2 . Adv. Nonlinear Stud. 5, 337–350 (2005)

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

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