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

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Total Publications: 12
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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

  • 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}
  • MA5301 : Differential Equations {Theory}
  • MA5303 : Partial Differential Equations {Theory}
  • MA611 : Analysis {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]
Nonlinear elliptic partial differential equations
Ambesh Kumar Pandey
Enrolled: Jan 2020
Continuing
Supervisor
Partial Differential Equations
Rupali Kumari
Enrolled: Sep 2020
Continuing
Supervisor
Partial differential equations
Akanksha Kesarwani
Enrolled: Sep 2020
Continuing
Supervisor
Partial Differential Equation, Function Analysis
Amar Pal Verma
Enrolled: Dec 2021
Continuing
Supervisor