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✴︎ Published Articles:
On the perturbed Q-curvature problem on S4, S. Prashanth, Sanjiban Santra, and A. Sarkar, Journal of Differential Equations, 255 (2013), 2363- 2391.
Exact multiplicity for the perturbed Q-curvature problem in RN, N ≥ 5, A. Sarkar and S. Prashanth, Archiv der Mathematik, 102 (2014), 575-587.
Isolated Singularities of Polyharmonic Operator in Even Dimension, R. Dhanya and A. Sarkar, Complex Variables and Elliptic Equations, 61 (1) (2016), 55-66.
Multiple Solutions of a Fourth Order Nonhomogeneous Equation With Critical Growth in R4, A. Sarkar, Electronic Journal of Differential Equations, Vol. 2017 (2017), No. 27, pp. 1-18.
The Fredholm alternative for the p-Laplacian in exterior domains, P. Drábek, K. Ho, and A. Sarkar, Nonlinear Analysis, 174 (2018), 17–53.
On the Eigenvalue Problem Involving the Weighted p-Laplacian in Radially Symmetric Domains, P. Drábek, K. Ho, and A. Sarkar, Journal of Mathematical Analysis and Applications, 468 (2018), 716–756.
On the Generalized Hardy-Rellich Inequalities, T.V. Anoop, Ujjal Das, and A. Sarkar, Proceedings A of the Royal Society of Edinburgh, 150 (2020), no. 2, 897–919.
Multiple solutions for a weighted p-Laplacian problem, Rohit Kumar and A. Sarkar, 2021 UNC Greensboro PDE Conference. Electron. J. Diff. Eqns., Conference 26 (2022), pp. 115-122.
On the fourth order semipositone problem in RN, Nirjan Biswas, Ujjal Das, and Abhishek Sarkar, Discrete and Continuous Dynamical Systems, 2023, 43(1): 411-434.
Degenerate Schrödinger-Kirchhoff (p, N)-Laplacian problem with singular Trudinger-Moser nonlinearity in RN, Deepak Kumar Mahanta, Tuhina Mukherjee, and Abhishek Sarkar, Forum Mathematicum, vol. 37, no. 2, 2025, pp. 459-483.
Existence of positive solutions for generalized fractional Brézis-Nirenberg problem, Rohit Kumar and Abhishek Sarkar, Topological Methods in Nonlinear Analysis, 64(2): 509-543 (2024).
On fractional system of NLS-KdV equations with Hardy potential, Rohit Kumar, Tuhina Mukherjee, and Abhishek Sarkar, Indian Journal of Pure and Applied Mathematics, 2025.
On critically coupled (s1,s2)-fractional system of Schrödinger equations with Hardy potential, Rohit Kumar, Tuhina Mukherjee, and Abhishek Sarkar, Differential and Integral Equations, Vol. 39, No. 1-2, 2025.
On the extreme value of Nehari manifold for nonlocal singular Schrödinger-Kirchhoff equations in RN, Deepak Kumar Mahanta, Tuhina Mukherjee, and Abhishek Sarkar, Complex Variables and Elliptic Equations (accepted).
✴︎ Communicated Articles:
Characterizations of compactness and weighted eigenvalue problem associated with fractional Hardy-type inequalities, Ujjal Das, Rohit Kumar, and Abhishek Sarkar (submitted).
On the study of (p, Q)-Laplace Choquard equations with critical Trudinger-Moser nonlinearity in HN, Deepak Kumar Mahanta, Tuhina Mukherjee, Abhishek Sarkar, and Lovelesh Sharma.
On sharpened singular Adams' type inequalities and applications to (p,n/2)-biharmonic equations, Deepak Kumar Mahanta, Tuhina Mukherjee, and Abhishek Sarkar.
Principal eigenvalues for the weighted p-Laplacian in RN and Antimaximum Principle, Anumol Joseph and Abhishek Sarkar.
On (p, N)-Laplace multivalued equations with critical exponential nonlinearity in RN, Ankit and Abhishek Sarkar.
On sharp singular Moser-Trudinger Moser-Trudinger type inequalities and applications to zero mass (p,Q)-Laplace subelliptic equations in the Heisenberg group, Giovany Malcher Figueiredo, Deepak Kumar Mahanta, and Abhishek Sarkar.
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