The LNM Institute of Information Technology

Ratan Kumar Giri

ratan.giri@lnmiit.ac.in

Date of joining:

Department:

Mathematics

Summary

Biography

Research Area

Mathematical Analysis: theoretical aspects of nonlinear elliptic and parabolic PDEs

Personal information

Name

Designation

Department

ORCID

Scopus_link

Website

Dr. Ratan Kumar Giri

Assistant Professor

Mathematics

https://orcid.org/0000-0003-4103-9342

https://www.scopus.com/authid/detail.uri?authorId=57202857098

https://sites.google.com/view/rrkgmath/home

Education

	Degree/Diploma	Institute/ Organization	Year	Branch/Specialization
1	Post Doctoral Research	Technion - Israel Institute of Technology, Haifa	2021	Mathematics
2	Post Doctoral Research	Aalto University, Finland	2019	Mathematics
3	Ph. D. Doctor of Philosophy	National Institute of Technology Rourkela	2018	Mathematics
4	M.Sc. Master of Science	Indian Institute of Technology Guwahati	2012	Mathematics

Publications

1	R.Kr.Giri, Y. Pinchover, Positive Liouville theorem and asymptotic behaviour for (p, A)-Laplacian type elliptic equations with Fuchsian potentials in Morrey space, In: Golberg, A., Kuchment, P., Shoikhet, D. (eds) Harmonic Analysis and Partial Differential Equations. Birkhäuser, Cham, March 2023
2	R.Kr. Giri and Y. Pinchover, Positive Solutions of Quasilinear Elliptic Equations with Fuchsian Potentials in Wolff Class, Milan J. Math.,91 (2023), no. 1, 59-96., February 2023
3	A. Panda, D. Choudhuri and R.Kr. Giri, Existence of positive solutions for a singular elliptic problem with critical exponent and measure data, Rocky Mountain Journal of Mathematics, Volume 51 (2021) no. 3, 973 - 988, June 2021
4	R.Kr. Giri, J. Kinnunen and K. Moring, Supercaloric functions for the parabolic p-Laplace equation in the singular case, Nonlinear Differential Equations and Applications, Volume 28, 33 (2021), April 2021
5	R.Kr. Giri and D. Choudhuri, Reduced limit approach to semilinear PDEs involving the fractional Laplacian with measure data, Turkish Journal of Mathematics, Volume 45 (2021), 2108-2125, January 2021
6	R.Kr. Giri and Y. Pinchover, Positive Liouville theorem and asymptotic behaviour for (p, A) -Laplacian type elliptic equations with Fuchsian potentials in Morrey space, Anal. Math. Phys., Volume 10 (2020), no. 4, Paper No. 67, 34 pp (appeared in a topical collection: Harmonic Analysis and PDE dedicated to the 80th birthday of Vladimir Maz'ya), October 2020
7	S. Ghosh, D. Chodhuri and R.Kr. Giri, Infinitely many small solutions to an elliptic PDE of variable exponent with a singular nonlinearity, Complex Variables and Elliptic Equations, Volume 66 (2021), no. 11, 1797-1817., July 2020
8	R.Kr. Giri and D. Choudhuri, A study of second order semilinear elliptic PDE involving measures, Filomat, Volume 33, Number 8 (2019), 2489-2506, July 2019
9	S. Ghosh, D. Choudhuri and R.Kr. Giri, Singular Nonlocal PDEs involving measure data, Bulletin of the Brazilian Mathematical Society, New Series, Volume 50, Number 1( 2019), 187-209, July 2018
10	R.Kr. Giri, D. Choudhuri and S. Pradhan, A study on elliptic PDE involving the p-harmonic and the p-biharmonic operators with steep potential well, Matematicki Vesnik, Volume 70, Number 2 (2018), 147-154, June 2018
11	R.Kr. Giri, D. Choudhuri and A. Soni, A Problem involving a nonlocal operator, Fractional Differential Calculus, Volume 8, Number 1 (2018), 177-190, March 2018
12	R.Kr. Giri and D. Choudhuri, A problem involving the p-Laplacian operator, Differential Equations & Applications, Volume 9, Number 2 (2017), 171-181, October 2017
13	R.Kr. Giri and D. Choudhuri, Composition operators on Orlicz-Sobolev spaces, Journal of Advanced Mathematical Studies, Volume 10, Number 3 (2017), 410-417, June 2017
14	R.Kr. Giri and S. Pradhan, On the properties of Ascent and Descent of Composition Operators on Orlicz spaces, Mathematical Sciences and Applications E-Notes, Volume 5, Number 1 (2017), 70-76, February 2017
15	R.Kr. Giri and S. Pradhan, Multiplication Operators on Orlicz and weighted Orlicz spaces, Bull. Calcutta Math. Soc., Volume 108, Number 1 (2016), 37-48, June 2016

Expert lectures

	Month	Year	Information
1	April	2022	Delivered an invited talk at Dept. of Mathematics, Siksha ’O’ Anusandhan (SOA), Bhubaneswar
2	July	2020	Delivered a talk in the online conference ‘Virtual Math Fest 2020’ held during July 20-26, 2020
3	February	2018	Delivered an invited talk at the Department of Mathematics and System Analysis, Aalto University School of Science, Finland.