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Dharmendra Kumar

Assistant Professor

School of Mathematics and Statistics, University of Hyderabad

Email: dharmendrakumar[AT]uohyd[DOT]ac[DOT]in

Office: Room number

Google Scholar Personal Website

Academic Background

  • Ph.D.: Indian Institute of Technology, Gandhinagar
  • M.Sc.: Indian Institute of Technology, Guwahati

Research Interests

Calculus of Variations, Partial Differential Equations and application of Nonlinear Functional Analysis.

Selected Publications

Journal Papers

  1. Dharmendra Kumar, Swarnendu Sil. BMO estimates for Hodge-Maxwell systems with discontinuous anisotropic coefficients, Nonlinear Analysis, 260, (2025), 113852.
  2. Vedansh Arya, Dharmendra Kumar. Borderline gradient continuity for fractional heat type operators, Proceedings of the Royal Society of Edinburgh Section A: Mathematics, 153(5), (2023), 1651–1682.
  3. Vedansh Arya, Dharmendra Kumar. Carleman estimates for sub-Laplacians on Carnot groups, Analysis and Mathematical Physics, 13(4), (2023), Paper No. 55, 17 pp.
  4. Dharmendra Kumar. Positive solution to singular semilinear elliptic problems, Complex Variables and Elliptic Equations, 67(11), (2022), 2708–2718.
  5. Dharmendra Kumar. Boundary differentiability of solutions to elliptic equations in convex domains in the borderline case, Analysis and Mathematical Physics, 12(6), (2022), Paper No. 131, 20 pp.
  6. Suchandan Ghosh, Dharmendra Kumar, Harsh Prasad, Vivek Tewary. Existence of variational solutions to doubly nonlinear nonlocal evolution equations via minimizing movements, Journal of Evolution Equations, 22(3), (2022), Paper No. 74, 40 pp.
  7. Dharmendra Kumar, Jagmohan Tyagi. Lyapunov-type inequalities for singular elliptic partial differential equations, Mathematical Methods in the Applied Sciences, 44(7), (2021), 5593–5616.
  8. Dharmendra Kumar, Jagmohan Tyagi. Singular elliptic equations with quadratic gradient term, Journal of Mathematical Analysis and Applications, 502(1), (2021), Paper No. 125245, 20 pp.
  9. Dharmendra Kumar. Positive solution to singular elliptic problems with subcritical nonlinearities, Nonautonomous Dynamical Systems, 6(1), (2019), 99–107.
  10. Dharmendra Kumar. Semilinear elliptic problems with singular terms on the Heisenberg group, Complex Variables and Elliptic Equations, 64(11), (2019), 1844–1853.