Conic type Caffarelli–Kohn–Nirenberg inequality on manifold with conical singularity

مشخصات پژوهش

عنوان	Conic type Caffarelli–Kohn–Nirenberg inequality on manifold with conical singularity
نوع پژوهش	JournalPaper
کلیدواژه‌ها	Caffarelli–Kohn–Nirenberg-type inequality Nonlinear elliptic equations Partial differential equations on manifolds
سال	2018
مجله	Journal of Pseudo-Differential Operators and Applications
شناسه DOI
پژوهشگران	َAli Asghar Jafari ، Mohsen Alimohammady

چکیده

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.

محسن علیمحمدی

مشخصات پژوهش

چکیده