Research
Title : | Existence and qualitative properties of solutions of quasilinear and nonlocal elliptic partial differential equations |
Area of research : | Mathematical Sciences |
Principal Investigator : | Dr. Dhanya Rajendran, Indian Institute of Science Education and Research (IISER) Thiruvananthapuram, Kerala |
Timeline Start Year : | 2023 |
Timeline End Year : | 2026 |
Contact info : | dhanya.tr@iisertvm.ac.in |
Details
Executive Summary : | 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. |
Total Budget (INR): | 6,60,000 |
Organizations involved
Implementing Agency : | Indian Institute of Science Education and Research (IISER) Thiruvananthapuram, Kerala Funding Agency :Anusandhan National Rsearch Foundation (ANRF)/Science and Engineering Research Board (SERB) | Source :Science and Engineering Research Board (SERB), DST 2022-23 | |