The fractional Brezis-Nirenberg problems on lower dimensions

A critical elliptic problem involving fractional Laplacian operator in domains with shrinking holes

(2019) Wei Long et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

Infinitely many non-radial solutions to a critical equation on annulus

(2018) Yuxia Guo et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

Bubbling solutions for nonlocal elliptic problems

(2017) Juan Dávila et al.   REVISTA MATEMATICA IBEROAMERICANA

Equations involving fractional Laplacian operator: Compactness and application

(2015) Shusen Yan et al.   JOURNAL OF FUNCTIONAL ANALYSIS

The Brezis-Nirenberg result for the fractional Laplacian

(2014) Raffaella Servadei et al.   TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY

The extremal solution for the fractional Laplacian

(2013) Xavier Ros-Oton et al.   CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS

Hitchhikerʼs guide to the fractional Sobolev spaces

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

The Brezis–Nirenberg type problem involving the square root of the Laplacian

(2010) Jinggang Tan   CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS