List of Publications

  • (With Swarnendu SIL): BMO estimates for Hodge-Maxwell systems with discontinuous anisotropic coefficients, arXiv:2310.06615.

  • (With Vedansh Arya) Carleman estimates for sub-Laplacians on Carnot groups, Analysis and Mathematical Physics, 13 (2023), no. 4, Paper No. 55, 17 pp.

  • (With Vedansh Arya) Borderline gradient continuity for fractional heat type operators, Proceedings A of the Royal Society of Edinburgh, 153 (2023), no. 5, 1651–1682.

  • (With Suchandan Ghosh et .al) Existence of variational solutions to doubly nonlinear nonlocal evolution equations via minimizing movements, Journal of Evolution Equations, 22 (2022), no. 3, Paper No. 74, 40 pp.

  • Boundary differentiability of solutions to elliptic equations in convex domains in the borderline case, Analysis and Mathematical Physics, 12 (2022), no. 6, Paper No. 131, 20 pp.

  • Positive solution to singular semilinear elliptic problems, Complex Var. Elliptic Equ. 67(2022), no. 11, 2708–2718.

  • (With Jagmohan Tyagi) Lyapunov-type inequalities for singular elliptic partial differential equations, Math. Methods Appl. Sci.44 (2021), no. 7, 5593–5616.

  • (With Jagmohan Tyagi) Singular elliptic equations with quadratic gradient term, J. Math. Anal. Appl. 502 (2021), no. 1, Paper No. 125245, 20 pp.

  • Positive solution to singular elliptic problems with subcritical nonlinearities, Nonauton. Dyn. Syst. 6 (2019), no. 1, 99–107.

  • Semilinear elliptic problems with singular terms on the Heisenberg group, Complex Var. Elliptic Equ. 64 (2019), no. 11, 1844–1853.