Existence and qualitative properties of solutions of quasilinear and nonlocal elliptic partial differential equations
Implementing Organization
Indian Institute of Science
Principal Investigator
Dr. Dhanya Rajendran
Indian Institute of Science
About
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.
Patents
0
Source
Source
Science and Engineering Research Board (SERB), DST 2022-23
Science and Engineering Research Board (SERB), New Delhi
Anusandhan National Research Foundation (ANRF)
Quick Information
Area of Research
Mathematical Sciences
Start Year
2023
End Year
2026
Sanction Amount
₹ 6.60 L
Status
Ongoing
Contact
dhanya.tr@iisertvm.ac.in
Output
No. of Research Paper
00
Technologies (If Any)
00
No. of PhD Produced
00
No. of Patents
Filed :00
Grant :00
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