The inequality of Moser and Trudinger and applications to conformal geometry

By S. Chang, Paul Yang. 2003

111 citations recorded by the source corpus.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/f06576efb3c9f501ab85145a3b623a56afd09a39

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In Applied Mathematics

1. G. Lu
2. Nguyen Huong Lam
3. Hanli Tang
4. Federica Sani
5. Cristina Tarsi
6. Daniele Cassani
7. Guofang Wang
8. W. Cohn

In Geometry and Topology

1. Nguyen Huong Lam
2. G. Lu
3. Federica Sani
4. Hanli Tang
5. Guofang Wang
6. Jie Wu
7. Cristina Tarsi
8. Daniele Cassani

Citations in the corpus

• Adams' inequalities for bi-Laplacian and extremal functions in dimension four (2009, unknown): “, see the survey article [9] and many references therein).”
• Hyperbolic Alexandrov-Fenchel quermassintegral inequalities II (2013, background): “nequality (2.9) is a generalized Sobolev inequality, since when k = 1 inequality (2.9) is just the optimal Sobolev inequality. See for example [20]. For another Sobolev inequalities, see also [3] and [7]. 3. Relationship between various geometric quantities The Gauss-Bonnet curvatures Lk, and hence ”
• EXISTENCE OF NONTRIVIAL SOLUTIONS TO POLYHARMONIC EQUATIONS WITH SUBCRITICAL AND CRITICAL EXPONENTIAL GROWTH (2012, background): “We also refer the reader to the survey article by S.Y. A. Chang and P. Yang on Moser-Trudinger inequalities and their applications in PDEs [10].”
• Sharp constants for Moser‐Trudinger inequalities on spheres in complex space ℂn (2004, background): “[15] Chang, S.-Y. A.; Yang, P. C.”
• Elliptic Equations and Systems with Subcritical and Critical Exponential Growth Without the Ambrosetti–Rabinowitz Condition (2014, background): “Yang [11] and the authors [24] for more applications of Moser–Trudinger inequalities in different directions.”
• Equivalent Moser type inequalities in R2 and the zero mass case (2014, background): “Recently, a lot of attention has been given to Trudinger-Moser inequalities whose validity extends to the whole space, see [43, 22, 4, 36, 51, 35, 46, 47, 42, 37], and this is motivated by connections with mean field equations and conformal geometry [15, 16], two dimensional nonlinear Schrödinger an”
• Sharp Singular Trudinger–Moser Inequalities in Lorentz–Sobolev Spaces (2016, methodology): “[32] G. Lu and Y. Yang, A sharpened Moser–Pohozaev–Trudinger inequality with mean value zero in R2, Nonlinear Anal.”
• Hyperbolic Alexandrov-Fenchel quermassintegral inequalities I (2013, background): “For another Sobolev inequalities, see also [3] and [7].”