Publications:
D. K. Mahanta, T. Mukherjee and A. Sarkar, Degenerate Schrödinger-Kirchhoff (p, N)-Laplacian problem with singular Trudinger-Moser nonlinearity in R^N. ( Published in Forum Mathematicum ( DOI: https://doi.org/10.1515/forum-2023-0407))
D.K. Mahanta and P. Winkert, On (p,n)-Laplace Schrödinger equations with Stein-Weiss convolution parts in R^n. ( Published in Applied Mathematics Letters ( DOI: https://doi.org/10.1016/j.aml.2025.109700))
D.K. Mahanta, T. Mukherjee and N. V. Thin, On coupled nonlocal Schrödinger-Kirchhoff system with singular exponential nonlinearity in R^N. (Published in Electron. J. Qual. Theory Differ. Equ. ( DOI: https://doi.org/10.14232/ejqtde.2025.1.17))
D.K. Mahanta, Existence and multiplicity of solutions for a class of quasilinear anisotropic elliptic systems via fibering method. ( Published in The Journal of Analysis ( DOI: https://doi.org/10.1007/s41478-025-00910-z))
D.K. Mahanta, T. Mukherjee and P. Winkert, On singularly perturbed (p, N)-Laplace Schrödinger equation with logarithmic nonlinearity. ( Published in Advanced Nonlinear Studies ( DOI: https://doi.org/10.1515/ans-2023-0200))
D. K. Mahanta, T. Mukherjee, A. Sarkar and L. Sharma, On the study of (p, Q)-Laplace Choquard equations with critical Trudinger-Moser nonlinearity in H^N. ( Published in Analysis and Applications ( DOI: https://doi.org/10.1142/S021953052650003X))
D. K. Mahanta, T. Mukherjee and A. Sarkar, The Nehari manifold's extreme value for nonlocal singular Schrödinger-Kirchhoff equations in R^N. ( Published in Complex Variables and Elliptic Equations ( DOI: https://doi.org/10.1080/17476933.2025.2562486))
Communicated:
D.K. Mahanta, T. Mukherjee and A. Sarkar, On sharpened singular Adams' type inequalities and applications to (p,n/2)-biharmonic equations.
G.M. Figueiredo, D. K. Mahanta and A. Sarkar, On sharp singular Moser-Trudinger type inequalities and applications
to zero mass (p, Q)-Laplace subelliptic equations in the Heisenberg group.