Subelliptic functional inequalities

  • Suragan, Durvudkhan (PI)
  • Kassymov, Aidyn (Other Faculty/Researcher)
  • Shilibekova, Dina (Other Faculty/Researcher)
  • Kuangaliyeva, Dilyara (Other Faculty/Researcher)

Project: Other

Project Details

Grant Program

Grant funding 2021-2023

Project Description

The main goal of this research project is the study of subelliptic functional inequalities and a qualitative study of their applications.

Project Relevance

The basic idea of this project is to analyse extensions, sharpness, stability and applications of central subelliptic functional inequalities, which occur in function spaces, (subelliptic) PDEs and the underlying geometry.

Project Impact

"Expected results

• Creating new methods for different types of subelliptic functional inequalities.
• Establishing anisotropic versions of fractional subelliptic inequalities on homogeneous groups.
• Investigation of reverse inequalities on homogeneous groups.

Achieved results

Anisotropic versions of fractional subelliptic inequalities on homogeneous groups are studied: - An anisotropic version of the fractional Gagliardo–Nirenberg inequality on homogeneous groups is obtained; - Anisotropic version of the fractional Caffarelli-Kohn-Nirenberg inequality on homogeneous groups is obtained
"
StatusActive
Effective start/end date1/1/2112/31/23

Fingerprint

Explore the research topics touched on by this project. These labels are generated based on the underlying awards/grants. Together they form a unique fingerprint.