Extremal functions for the singular Moser-Trudinger inequality in 2 dimensions

Author:

Csató Gyula,Roy Prosenjit

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Analysis

Reference15 articles.

1. Adimurthi, A., Sandeep, K.: A singular Moser-Trudinger embedding and its applications. Nonlinear. Differ. Equ. Appl. 13(5–6), 585–603 (2007)

2. Adimurthi, A., Tintarev, C.: On compactness in the Trudinger-Moser inequality. Ann. Sc Norm. Super. Pisa. Cl. Sci. A. 5(13), 399–416 (2014)

3. Axler, S., Bourdon, P., Ramey, W.: Harmonic function theory, Second edition, Graduate Texts in Mathematics, 137. Springer, New York (2001)

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

5. Csató G.: An isoperimetric problem with density and the Hardy Sobolev inequality in $$\mathbb{R}^2$$ R 2 , Differential Intergral Equations, to appear

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