Blow-up Analysis in Dimension 2 and a Sharp Form of Trudinger–Moser Inequality

By Adimurthi, Olivier Druet. 2005

210 citations recorded by the source corpus.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/10487a6c312acd731eac4d3faf3eae14a5aa10f0

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Y. Yang
2. G. Lu
3. Nguyen Huong Lam
4. Federica Sani
5. Guofang Wang
6. D. Ye
7. Nader Masmoudi
8. Michael Struwe

In Computational Theory and Mathematics

1. Y. Yang
2. G. Lu
3. Nguyen Huong Lam
4. Federica Sani
5. D. Ye
6. Guofang Wang
7. Nader Masmoudi
8. Michael Struwe

In Mathematical Physics

1. Y. Yang
2. G. Lu
3. D. Ye
4. Guofang Wang
5. Michael Struwe
6. Federica Sani
7. Adimurthi
8. C. Tintarev

Citations in the corpus

• A sharp form of Moser–Trudinger inequality in high dimension (2006, methodology): “Theorem B (Adimurthi–Druet).”
• Extremal functions for Trudinger-Moser inequalities of Adimurthi-Druet type in dimension two (2015, background): “For existence of extremal functions for Trudinger-Moser inequality of Adimurthi-Druet type (Trudinger-Moser inequalities analogous to (3) above or (9) below), we provedin [41, 26] that supremums in (3) and (6) are attained for sufficiently smallα ≥ 0, and that the supremum in (5) (n ≥ 3) is attained”
• Sharp constant and extremal function for the improvedMoser-Trudinger inequality involving $L^p$ norm in two dimension (2009, background): “The earlier blow-up scheme can be found in [13, 1].”
• CONCENTRATION PHENOMENA FOR LIOUVILLE'S EQUATION IN DIMENSION FOUR (2006, methodology): “Lin [12] and Robert [17]; concentration-compactness issues for problems with exponential nonlinearities in two dimensions have been treated in Adimurthi–Druet [1], Adimurthi–Struwe [2] and Druet [7].”
• Trudinger–Moser inequality in the hyperbolic space ℍN (2013, background): “1) in the spirit of Adimurthi and Druet [3].”
• Elliptic Equations and Systems with Subcritical and Critical Exponential Growth Without the Ambrosetti–Rabinowitz Condition (2014, unknown): “[1–4], Cao [8], do Ó et al.”
• A Hardy-Moser-Trudinger inequality (2010, methodology): “limε→0 ‖uε‖∞ =∞ and perform a blow-up analysis as in [2, 23].”
• Adams' Inequality with the Exact Growth Condition in ℝ4 (2014, background): “The goal of this paper is to give the optimal growth rate of the exponential -type function when the problem is considered in the whole space R4.”