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

2

SPONSORED PROJECTS

7

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 results for a class of elliptic PDEs with nonlinearities and singular term. NATIONAL BOARD FOR HIGHER MATHEMATICS
  • Principal Investigator
  • 36
  • Running   Sponsored
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: 15
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A. K. Pandey and R. Kar,"EXISTENCE OF SOLUTIONS TO SEMILINEAR ELLIPTIC EQUATIONS WITH VARIABLE EXPONENT SINGULARITY", Rocky Mountain J. Math., vol.53, no.3, pp.11, Project Euclid 2023, 10.1216/rmj.2023.53.903       Article

A. P. Verma and R. Kar,"Monotone operators and a class of nonlinear elliptic equations on the Sierpinski gasket", Georgian Mathematical Journal, De Gruyter 2023, https://doi.org/10.1515/gmj-2023-2056       Article

A. K. Badajena and R. Kar,"EXISTENCE OF A WEAK SOLUTION FOR A CLASS OF NONLINEAR ELLIPTIC EQUATIONS ON THE SIERPINSKI GASKET", Ukrainian Mathematical Journal, vol.74, no.10, pp.13, Springer, March 2023, 10.1007/s11253-023-02151-4       Article

R. Kar and A. K. Badajena,"A class of semilinear elliptic equations on the Sierpinski gasket", Applicable Analysis, Taylor and Francis, January 2020, https://doi.org/10.1080/00036811.2020.1713313       Article

R. Kar,"Textbook of Ordinary Differential Equations", McGraw-Hill Education 2015       Book

  • 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}
  • Numerical Solutions of ODE and PDE {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 [7]
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
Existence and multiplicity results for a class of elliptic equations with combined nonlinearities
Amar Pal Verma
Enrolled: Dec 2021
Thesis Submitted
Supervisor
Partial Differential equations
Abakash Pradhan
Enrolled: Jul 2026
Continuing
Supervisor
Analysis, Differential Equation
Biswajit Sahoo
Enrolled: Jan 2026
Continuing
Supervisor
Partial Differential Equation, Analysis
Bintu
Enrolled: Jan 2026
Continuing
Supervisor