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Existence and qualitative properties of solutions of quasilinear and nonlocal elliptic partial differential equations

Implementing Organization

Principal Investigator
Dr. Dhanya Rajendran
Indian Institute of Science Education and Research (IISER) Thiruvananthapuram, Kerala

Project Overview

This project aims to investigate quasilinear and nonlocal elliptic equations in bounded domains, aiming to prove new estimates and regularity results. The lack of homogenity of double phase is a major hurdle, but a newly developed regularity result can overcome this. The project aims to obtain uniqueness results when the nonlinear forcing term has a specific growth near zero and infinity. Additionally, variational type results for fractional p Laplacian are also aimed at.

Source

Source
Science and Engineering Research Board (SERB), DST 2022-23
Funding Organization
Quick Information
Area of Research
Mathematical Sciences
Start Date
2023
End Date
2026
Status
Ongoing
Contact
dhanya.tr@iisertvm.ac.in
Output
No. of Research Paper
00
Technologies (If Any)
00
No. of PhD Produced
00
Publications
00
No. of Patents
Filed : 00
Grant : 00
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