Research Interests:

• Fractional Hardy Inequalities

• Critical Exponent Problems associated with Fractional Laplacian and Fractional p Laplacian Operator

• Semipositone Problems on R^N

• System of Non-local Equations with Hardy Potential and Coupled with Critical Nonlinearities

• System of Non-local Equations with Mixed Homogeneous Dirichlet--Neumann Boundary Conditions

• Fractional Laplace Problems with Sub-linear Nonlinearities on R^N