Assistant Professor

Dr Ram Baran Verma

Department of Mathematics


  1. Elliptic and parabolic partial differential equations



Lal Bahadur Shastri Degree collage Gonda, U.P


University of Allahabad


IIT Gandhinagar


  • 01-06-2018 to 17-12-2019, Post-Doctoral position | TIFR- CAM, Bengaluru

Research Interest

  • I am interested in the study of the existence and regularity properties of the solutions of elliptic and parabolic equations.

List of Publications

  • Agnid Banerjee, Ram Baran Verma, C1,α Regularity for degenerate fully nonlinear elliptic equations with Neumann boundary conditions, Potential Analysis, DOI: 10.1007/s11118-021-09918-z. Page no. 1–39
  • Karthik Adimurthi, Agnid Banerjee, R. B. Verma, Twice differentiability of solutions to fully nonlinear parabolic equations near the boundary, Non linear Analysis Volume 197 Year 2020, Page no 1-16.
  • Ramesh Manna, R. B. Verma, Borderline gradient estimates at the bound ary in Carnot groups, Proceedings of the Royal Society of Edinburgh Sec tion A: Mathematics, Doi:10.1017/prm.2020.86. Page no. 1–34.
  • J. Tyagi, R. B. Verma, Lyapunov type inequality for extremal Pucci’s equa tions, Journal of the Australian Mathematical Society , Volume 109 , Year 2020 Page no. 416 –430.
  • J. Tyagi, R. B. Verma, Existence of solutions to fully nonlinear elliptic equations with gradient nonlinearity , Taiwanese Journal of Mathematics, Volume 21, Year. 2017 Page no. 1037–1056.
  • G. Dwivedi, J. Tyagi, R. B. Verma, ”Stability of positive solution to frac tional logistic equations”, Funkcialaj Ekvacioj, Volume 62 Year-2019 Page No. 61–73.
  • Positive solution to Puuci’s extremal equations with singular and gradient nonlinearity-J. Tyagi and Ram Baran Verma, Discrete and Continuous Dynamical Systems Series-A, 39 , 2637-2659 (2019)
  • Positive solution of extremal Pucci’s equations with singular and sublinear nonlinearity, J. Tyagi, and Ram Baran Verma,-Mediterranean Journal of Mathematics, DOI 10.1007/s00009-017-0950-6 (2017)
  • On the bifurcation for fractional Laplace equations- G. Dwivedi, J.Tyagi and Ram Baran Verma Mathematische Nachrichten, DOI: 10.1002/mana201600250
  • A Survey on the existence, uniqueness and regularity questions to fully nonlinear elliptic partial differential equations, J. Tyagi and Ram Baran Verma, Differential Equations and Application, 8(2) 135—205 (2016)

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