Classification of solutions of an equation related to a conformal log Sobolev inequality
Author:
Funder
National Natural Science Foundation of China
National Science Foundation
Publisher
Elsevier BV
Subject
General Mathematics
Reference22 articles.
1. Sobolev inequalities, the Poisson semigroup, and analysis on the sphere Sn;Beckner;Proc. Natl. Acad. Sci. USA,1992
2. Sharp Sobolev inequalities on the sphere and the Moser-Trudinger inequality;Beckner;Ann. Math. (2),1993
3. Logarithmic Sobolev inequalities and the existence of singular integrals;Beckner;Forum Math.,1997
4. Asymptotic symmetry and local behavior of semilinear equations with critical Sobolev growth;Caffarelli;Commun. Pure Appl. Math.,1989
5. The Dirichlet problem for the logarithmic Laplacian;Chen;Commun. Partial Differ. Equ.,2019
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