Kumar, Uttam2024-06-072024-06-072022ROLL NO.166123102https://gyan.iitg.ac.in/handle/123456789/2634Supervisor: Tiwari, SwetaThe main objective of this thesis is to examine purely critical and supercritical exponent problems involving nonlocal operator in the symmetric domain. The nonlocal superlinear semipositone problem is also investigated.enNonlocal ProblemCritical and Supercritical ProblemSemipositone ProblemOn nonlocal purely critical and supercritical problems and superlinear semipositone problemsThesis