National Institute of Technology Rourkela

राष्ट्रीय प्रौद्योगिकी संस्थान राउरकेला

ଜାତୀୟ ପ୍ରଯୁକ୍ତି ପ୍ରତିଷ୍ଠାନ ରାଉରକେଲା

An Institute of National Importance

Faculty Profile

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EXPERTISE INFORMATION

Research Group
  • Applied Mathematics
Areas of Interest
  • Nonlinear Elliptic Partial Differential Equations

Rasmita Kar Assistant Professor Grade-I

Mathematics

karr@nitrkl.ac.in

0661 - 246 2708

Biosketch

12

PUBLICATIONS

1

SPONSORED PROJECTS

4

DOCTORAL STUDENTS

PERSONAL INFORMATION

Rasmita Kar

Assistant Professor Grade-I

Mathematics

Room Number:

Department of Mathematics, National Institute of Technology Rourkela, Sundargarh, Odisha, India - 769008

Ph.D.

Existence and multiplicity of solutions for a class of Nonlinear Elliptic PDEs with Combined Nonlinearities. Science & Engineering Research Board(SERB)
  • Principal Investigator
  • 36
  • Completed   Sponsored

0
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Total Publications: 12
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A. K. Pandey and R. Kar,"Positive solutions to nonhomogeneous quasilinear problems with singular and supercritical nonlinearities", Indian Journal of Pure and Applied Mathematics, SpringerLink 2024, https://doi.org/10.1007/s13226-024-00588-2       Article

A. K. Pandey and R. Kar,"Existence results for nonlinear degenerate elliptic problems involving singular and supercritical nonlinearities", Journal of Elliptic and Parabolic Equations, SpringerLink 2024, https://doi.org/10.1007/s41808-024-00292-6       Article

R. Kar and A. P. Verma,"Existence of Three Solutions for a Class of Nonlocal Neumann Problem", Journal of Indian Math. Soc., Informatics publishing limited 2024, https://doi.org/10.18311/jims/2024/32297       Article

R. Kumari and R. Kar,"Nonlinear elliptic equations on weighted Sobolev space", Math. Notes, vol.114, no.2023, pp.1289-1296, SpringerLink 2024, 10.1134/S0001434623110603       Article

R. Kumari and R. Kar,"Weak solution for biharmonic equation with Navier boundary conditions", Mathematica, pp.114-122, June 2024, 10.24193/mathcluj.2024.1.10       Article

  • MA1001 : Mathematics - I {Theory}
  • MA1002 : Mathematics - II {Theory}
  • MA1003 : Mathematics - I {Theory}
  • MA1004 : Mathematics - II {Theory}
  • MA101 : Mathematics - I {Theory}
  • MA102 : Mathematics – II {Theory}
  • MA2306 : Mathematical Methods {Theory}
  • MA232 : Introduction to Mathematical Methods {Theory}
  • MA403 : Linear Algebra {Theory}
  • MA405 : Partial Differential Equations {Theory}
  • MA4101 : Real Analysis: Series of Functions and Calculus of Several Variables {Theory}
  • MA4204 : Differential Equations {Theory}
  • MA5301 : Differential Equations {Theory}
  • MA5303 : Partial Differential Equations {Theory}
  • MA611 : Analysis {Theory}
  • MA6204 : Advanced Differential Equations {Theory}
  • MA634 : Mathematical Methods {Theory}
  • MA6634 : Mathematical Methods {Theory}
  • MA3370 : Computing Laboratory {Practical}
  • MA472 : Numerics of Partial Differential Equations {Practical}
  • MA473 : Programming Practice Laboratory – II {Practical}

Ph.D. Students [4]
Partial Differential Equation, Function Analysis
Amar Pal Verma
Enrolled: Dec 2021
Continuing
Supervisor
Partial differential equations
Akanksha Kesarwani
Enrolled: Sep 2020
Continuing
Supervisor
Partial Differential Equations
Rupali Kumari
Enrolled: Sep 2020
Continuing
Supervisor
Nonlinear elliptic partial differential equations
Ambesh Kumar Pandey
Enrolled: Jan 2020
Continuing
Supervisor