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Mohsen Alimohammady

Academic rank: Professor
ORCID:
Education: PhD.
ScopusId:
Faculty: Faculty of Mathematical Sciences
Address:
Phone: 011-35302462

Research

Title
Conic type Caffarelli–Kohn–Nirenberg inequality on manifold with conical singularity
Type
JournalPaper
Keywords
Caffarelli–Kohn–Nirenberg-type inequality Nonlinear elliptic equations Partial differential equations on manifolds
Year
2018
Journal Journal of Pseudo-Differential Operators and Applications
DOI
Researchers َAli Asghar Jafari ، Mohsen Alimohammady

Abstract

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.