March 30, 2023

Mohsen Alimohammady

Degree: Professor
Education: Ph.D in Mathematics
Phone: 011-35302462
Faculty: Faculty of Mathematical Sciences


Title Conic type Caffarelli–Kohn–Nirenberg inequality on manifold with conical singularity
Type Article
Caffarelli–Kohn–Nirenberg-type inequality Nonlinear elliptic equations Partial differential equations on manifolds
Journal Journal of Pseudo-Differential Operators and Applications
DOI 10.1007//s11868-018-0243-2
Researchers َAli Asghar Jafari (First researcher) , Mohsen Alimohammady (Second researcher)


In this paper, we consider a manifold with conical singularity and introduce weighted cone Sobolev spaces. We prove a conic type Caffarelli–Kohn–Nirenberg inequality and then apply this inequality to obtain a existence result of a nonlinear elliptic equation on weighted cone Sobolev space.