National Institute of Technology Rourkela

राष्ट्रीय प्रौद्योगिकी संस्थान राउरकेला

ଜାତୀୟ ପ୍ରଯୁକ୍ତି ପ୍ରତିଷ୍ଠାନ ରାଉରକେଲା

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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

6

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

  • Advanced Differential Equations {Theory}
  • Analysis {Theory}
  • Differential Equations {Theory}
  • Functional Analysis {Theory}
  • Functional Analysis with Applications {Theory}
  • Introduction to Mathematical Methods {Theory}
  • Linear Algebra {Theory}
  • Mathematical Methods {Theory}
  • Mathematics - I {Theory}
  • Mathematics - II {Theory}
  • Mathematics – II {Theory}
  • Partial Differential Equations {Theory}
  • Real Analysis: Series of Functions and Calculus of Several Variables {Theory}
  • Computing Laboratory {Practical}
  • Numerics of Partial Differential Equations {Practical}
  • Programming Practice Laboratory – II {Practical}

Ph.D. Students [6]
A Class of Elliptic PDEs Involving the (p,q)-Laplacian with Constant or Variable Exponents
Akanksha Kesarwani
Enrolled: Sep 2020
Graduated :  Jan 2026
Supervisor
A Study of Nonlinear Elliptic PDEs with Navier and Dirichlet Boundary Conditions
Rupali Kumari
Enrolled: Sep 2020
Graduated :  Jan 2026
Supervisor
Existence Results for a Class of Elliptic Equations with Singular Nonlinearities
Ambesh Kumar Pandey
Enrolled: Jan 2020
Graduated :  May 2025
Supervisor
Analysis, Differential Equation
Biswajit Sahoo
Enrolled: Jan 2026
Continuing
Supervisor
Partial Differential Equation, Analysis
Bintu
Enrolled: Jan 2026
Continuing
Supervisor
Existence and multiplicity results for a class of elliptic equations with combined nonlinearities
Amar Pal Verma
Enrolled: Dec 2021
Continuing
Supervisor