Sharp constant and extremal function for the improvedMoser-Trudinger inequality involving $L^p$ norm in two dimension

By G. Lu, Y. Yang. 2009

88 citations recorded by the source corpus.

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

View Paper: https://www.semanticscholar.org/paper/912857ddde2aced690a450816113c53702adc0dc

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In Applied Mathematics

1. Nguyen Huong Lam
2. G. Lu
3. Caifeng Zhang
4. Hanli Tang
5. Y. Yang
6. Federica Sani
7. Jiuyi Zhu
8. Lu Zhang

In Computational Theory and Mathematics

1. Nguyen Huong Lam
2. G. Lu
3. Caifeng Zhang
4. Hanli Tang
5. Y. Yang
6. Federica Sani
7. Jiuyi Zhu
8. Lu Zhang

In Mathematical Physics

1. Nguyen Huong Lam
2. G. Lu
3. Hanli Tang
4. Caifeng Zhang
5. Y. Yang

Citations in the corpus

• Elliptic Equations and Systems with Subcritical and Critical Exponential Growth Without the Ambrosetti–Rabinowitz Condition (2014, unknown): “In the case N = 2, motivated by the Moser–Trudinger inequality (see Lemma 3), existence of nontrivial solutions to problems of the above type when f has exponential growth has been studied by many authors; see, for example, Carleson–Chang [9], Atkinson–Peletier [6], Shaw [40], Adimurthi et al. [1] [”
• EXISTENCE OF NONTRIVIAL SOLUTIONS TO POLYHARMONIC EQUATIONS WITH SUBCRITICAL AND CRITICAL EXPONENTIAL GROWTH (2012, background): “We refer the reader to the works of on existence of extremal functions by Flucher [15] on smooth domains in R when n = 2, by Lin [32] for the case n > 2, on existence of extremal functions with mean value zero by Leckband [27], Lu and Yang [33] and in L norms ([35]) and on existence of extremal func”