MOSER—TRUEDINGER INEQUALITY ON COMPACT RIEMANNIAN MANIFOLDS OF DIMENSION TWO

By 李宇翔. 2001

162 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/88d62db47340f903e7c59ec7bf19de89cc20ce7f

How researchers see this paper

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

1. Nguyen Huong Lam
2. Nader Masmoudi
3. Federica Sani
4. Y. Yang
5. Guofang Wang
6. G. Lu
7. Bernhard Ruf
8. Xiaobao Zhu

Citations in the corpus

• A sharp form of Moser–Trudinger inequality in high dimension (2006, methodology): “Similar to [1,10,11], we have the following.”
• EXISTENCE OF NONTRIVIAL SOLUTIONS TO POLYHARMONIC EQUATIONS WITH SUBCRITICAL AND CRITICAL EXPONENTIAL GROWTH (2012, background): “Li [28, 29] and Yang [43], and on unbounded domains by Ruf in R(2) [41] and by Y.”
• Sharp Singular Trudinger–Moser Inequalities in Lorentz–Sobolev Spaces (2016, background): “, see [5, 13, 14, 22] and [16, 26, 27], respectively.”
• Blow-up analysis concerning singular Trudinger–Moser inequalities in dimension two (2016, methodology): “Similar to [16, 1], we have the following: Lemma 7.”
• A Sharp Trudinger-Moser Type Inequality for Unbounded Domains in Rn (2006, methodology): “We will use the ideas from [10] and [11] (see also [4] and [3]).”
• A sharp form of the Moser-Trudinger inequality on a compact Riemannian surface (2007, methodology): “For the existence of extremal functions for the classical Moser-Trudinger inequality, we would like to mention Carleson and Chang [3], Flucher [8], Lin [12], Li [10] and Li–Liu [11].”
• Extremal functions for Trudinger-Moser inequalities of Adimurthi-Druet type in dimension two (2015, background): “Since the procedure is now standard [26] (fo r earlier works, see [15, 5, 21, 1]), 6”
• Adams' Inequality with the Exact Growth Condition in ℝ4 (2014, background): “Li [23, 24] for generalizations to functions on compact Riemannian manifolds and A.”
• Adams' inequalities for bi-Laplacian and extremal functions in dimension four (2009, unknown): “The technique of capacity estimates applied to this kind of problems was first used in [21] in dealing withMoser’s inequality of first order derivatives.”
• A Hardy-Moser-Trudinger inequality (2010, methodology): “Similar approaches were used in [10, 13, 2, 21, 23] to establish 2-dimensional inequalities.”