Conic type Caffarelli–Kohn–Nirenberg inequality on manifold with conical singularity, By Mohsen Alimohammady

Research

Title	Conic type Caffarelli–Kohn–Nirenberg inequality on manifold with conical singularity
Type	Article
Keywords	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)

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.