Effect of lower order perturbation on maximization problem associated with Trudinger–Moser inequality

Author:

Hashizume Masato

Funder

Japan Society for the Promotion of Science

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Analysis

Reference17 articles.

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

2. Brézis, H., Nirenberg, L.: Positive solutions of nonlinear elliptic equations involving critical Sobolev exponents. Comm. Pure Appl. Math. 36(4), 437–477 (1983)

3. 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). (French summary)

4. de Figueiredo, D.G., do Ó, J.M., Ruf, B.: On an inequality by N. Trudinger and J. Moser and related elliptic equations. Commun. Pure Appl. Math. 55(2), 135–152 (2002). (English summary)

5. Flucher, M.: Extremal functions for the Trudinger–Moser inequality in 2 dimensions. Comment. Math. Helv. 67(3), 471–497 (1992)

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