Improved Sobolev embeddings, profile decomposition, and concentration-compactness for fractional Sobolev spaces

Profile decompositions for critical Lebesgue and Besov space embeddings

(2012) Gabriel S. Koch   INDIANA UNIVERSITY MATHEMATICS JOURNAL

Subcritical Approximation of the Sobolev Quotient and a Related Concentration Result

(2012) Giampiero Palatucci   RENDICONTI DEL SEMINARIO MATEMATICO DELLA UNIVERSITA DI PADOVA

Existence of maximizers for Sobolev–Strichartz inequalities

(2011) Luca Fanelli et al.   ADVANCES IN MATHEMATICS

Hitchhikerʼs guide to the fractional Sobolev spaces

(2011) Eleonora Di Nezza et al.   BULLETIN DES SCIENCES MATHEMATIQUES

Generalized fractional integral operators and fractional maximal operators in the framework of Morrey spaces

(2011) Yoshihiro Sawano et al.   TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY

Non-linear ground state representations and sharp Hardy inequalities

(2008) Rupert L. Frank et al.   JOURNAL OF FUNCTIONAL ANALYSIS