R. Kumar, A. Sarkar:
MULTIPLE SOLUTIONS FOR A WEIGHTED p-LAPLACIAN PROBLEM
EJDE-2022/CONF/26 (Proceedings) http://arxiv.org/abs/2207.04462 Vol. Conference 26 (2022), p. pp. 115-122, 2022

U. Das, R. Kumar, A. Sarkar:
Characterizations of compactness and weighted eigenvalue problem for  fractional $p$-Laplacian in $\mathbb{R}^N$
(preprint) http://arxiv.org/abs/2309.09532 2023

R. Kumar, T. Mukherjee, A. Sarkar:
On critically coupled (s_1, s_2)-fractional system of Schrödinger  equations with Hardy potential
Differential and Integral Equations (Accepted Paper) http://arxiv.org/abs/2210.08260 2023

N. Biswas, R. Kumar:
Higher order fractional weighted homogeneous spaces: characterization  and finer embeddings
Journal of Mathematical Analysis and Applications 2024

R. Kumar, A. Sarkar:
Existence of Positive Solutions for Generalized Fractional  Brézis-Nirenberg Problem
Topological Methods in Nonlinear Analysis 2024

H. Hajaiej, R. Kumar, T. Mukherjee, L. Song:
Existence and non-existence results to a mixed Schrodinger system in a  plane
Asymptotic Analysis 2024

R. Kumar, T. Mukherjee, A. Sarkar:
On a fractional system of NLS-KDV equations with Hardy potentials
Indian Journal of Pure and Applied Mathematics 2025

N. Biswas, R. Kumar:
On semipositone problems over $\mathbb{R}^N$ for the fractional  $p$-Laplace operator
Journal of Mathematical Analysis and Applications (preprint) http://arxiv.org/abs/2401.16953 2025