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
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.
Indian Institute of Science
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