National Institute of Technology Rourkela

राष्ट्रीय प्रौद्योगिकी संस्थान राउरकेला

ଜାତୀୟ ପ୍ରଯୁକ୍ତି ପ୍ରତିଷ୍ଠାନ ରାଉରକେଲା

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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

15

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

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Total Publications: 15
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R. Kumari and R. Kar,"A class of nonlinear elliptic equations with dependence on the gradient", Journal of Elliptic and Parabolic Equations, Springer Nature, June 2025, 10.1007/s41808-025-00349-0       Article

A. Kesarwani and R. Kar,"Nonlinear p-laplacian problem involving a hardy potential in exterior domain", Differential Equations and Dynamical Systems, Springer Nature, April 2025, 10.1007/s12591-025-00723-3       Article

A. Kesarwani and R. Kar,"Superlinear and sublinear dirichlet problems with the (p(y), q(y))-laplacian operator", Indian Journal of Pure and Applied Mathematics, Springer Nature, June 2025, 10.1007/s13226-025-00797-3       Article

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

  • 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}
  • MA5101 : Functional Analysis {Theory}
  • MA5301 : Differential Equations {Theory}
  • MA5303 : Partial Differential Equations {Theory}
  • MA611 : Analysis {Theory}
  • MA634 : Mathematical Methods {Theory}
  • MA6613 : Functional Analysis with Applications {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]
Existence Results for a Class of Elliptic Equations with Singular Nonlinearities
Ambesh Kumar Pandey
Enrolled: Jan 2020
Graduated :  May 2025
Supervisor
A class of elliptic PDEs involving the (p,q)-Laplacian with constant or variable exponents
Akanksha Kesarwani
Enrolled: Sep 2020
Thesis Submitted
Supervisor
A study of nonlinear elliptic PDEs with Navier and Dirichlet boundary conditions
Rupali Kumari
Enrolled: Sep 2020
Thesis Submitted
Supervisor
Partial Differential Equation, Function Analysis
Amar Pal Verma
Enrolled: Dec 2021
Continuing
Supervisor