R. Kumari and R. Kar,"A class of nonlinear elliptic equations with dependence on the gradient", Journal of Elliptic and Parabolic Equations, Springer Nature, June 2025, 10.1007/s41808-025-00349-0       Article

A. Kesarwani and R. Kar,"Nonlinear p-laplacian problem involving a hardy potential in exterior domain", Differential Equations and Dynamical Systems, Springer Nature, April 2025, 10.1007/s12591-025-00723-3       Article

A. Kesarwani and R. Kar,"Superlinear and sublinear dirichlet problems with the (p(y), q(y))-laplacian operator", Indian Journal of Pure and Applied Mathematics, Springer Nature, June 2025, 10.1007/s13226-025-00797-3       Article

A. K. Pandey and R. Kar,"Positive solutions to nonhomogeneous quasilinear problems with singular and supercritical nonlinearities", Indian Journal of Pure and Applied Mathematics, SpringerLink 2024, https://doi.org/10.1007/s13226-024-00588-2       Article

A. K. Pandey and R. Kar,"Existence results for nonlinear degenerate elliptic problems involving singular and supercritical nonlinearities", Journal of Elliptic and Parabolic Equations, SpringerLink 2024, https://doi.org/10.1007/s41808-024-00292-6       Article

R. Kar and A. P. Verma,"Existence of Three Solutions for a Class of Nonlocal Neumann Problem", Journal of Indian Math. Soc., Informatics publishing limited 2024, https://doi.org/10.18311/jims/2024/32297       Article

R. Kumari and R. Kar,"Nonlinear elliptic equations on weighted Sobolev space", Math. Notes, vol.114, no.2023, pp.1289-1296, SpringerLink 2024, 10.1134/S0001434623110603       Article

R. Kumari and R. Kar,"Weak solution for biharmonic equation with Navier boundary conditions", Mathematica, pp.114-122, June 2024, 10.24193/mathcluj.2024.1.10       Article

A. Kesarwani and R. Kar,"Existence of solutions for (p(y), q(y))-Laplacian elliptic problem on an exterior domain", Georgian Mathematical Journal, De Gruyter, April 2024, https://doi.org/10.1515/gmj-2024-2022       Article

A. K. Badajena and R. Kar,"EXISTENCE OF A WEAK SOLUTION FOR A CLASS OF NONLINEAR ELLIPTIC EQUATIONS ON THE SIERPINSKI GASKET", Ukrainian Mathematical Journal, vol.74, no.10, pp.13, Springer 2023, https://doi.org/10.1080/00036811.2020.1713313       Article