Research Interests: My research interest mainly lies in the analysis of  elliptic and parabolic partial differential equations (PDE's). More precisely, I investigate the regularity and existence theory of such type of PDE's involving variants of p-Laplace equations. Some of the basic tools are knowledge of PDE, real analysis, linear algebra, multivariable calculus, functional analysis, topology and measure theory.

Research Collaborators:

1. Claudianor Oliveira Alves (https://mathscinet.ams.org/mathscinet/search/author.html?mrauthid=610236)

2. Gurdev Chand Anthal (https://mathscinet.ams.org/mathscinet/author?authorId=1533586)

3. Kaushik Bal (https://iitk.ac.in/new/kaushik-bal)

4. Agnid Banerjee (https://www.math.tifrbng.res.in/people/agnid)

5. Sanjit Biswas (https://mathscinet.ams.org/mathscinet/author?authorId=1580948)

6. Ait-Mahiout Karima (https://mathscinet.ams.org/mathscinet/search/author.html?mrauthid=1147230)

7. Wontae Kim (https://math.aalto.fi/en/people/wontae.kim)

8. Juha Kinnunen (https://sites.google.com/view/jkkinnun/home)

9. Erik Lindgren (https://katalog.uu.se/profile/?id=N18-1444)

10. Indubaran Mandal (https://mathscinet.ams.org/mathscinet/author?authorId=1239125)

11. Tuhina Mukherjee (https://sites.google.com/iitj.ac.in/dr-tuhina-mukherjee/home)

12. Kaj Nyström (https://katalog.uu.se/profile/?id=N94-1986)

13. Valerii Pchelintsev (https://orcid.org/0000-0001-7521-1177).

14. Vicentiu D. Radulescu (http://math.ucv.ro/~radulescu/)

15. Konijeti Sreenadh (https://web.iitd.ac.in/~sreenadh/)

16. Alireza Tavakoli (https://mathscinet.ams.org/mathscinet/author?authorId=1604237)

17. Alexander Ukhlov (https://www.math.bgu.ac.il/~ukhlov/)

Referee works:

1. Transactions of the American Mathematical Society [1].

2. Journal of Functional Analysis [1].

3. Calculus of Variations and Partial Differential Equations [1].

4. Math Z [1].

5. Advances in Calculus of Variations [1].

6. Journal of the London Mathematical Society [1].

7. Communications on Pure and Applied Analysis [1].

8. Journal of Mathematical Analysis and Applications [1].

9. Results in Mathematics [1].

10. Advances in Differential Equations [1].

11. Analysis and Mathematical Physics [2].

12. Mathematische Nachrichten [1].

13. Journal of Mathematical Sciences [1].

14. Mathematics MDPI [2].

15. Acta Mathematica Scientia (AMS) [1].

16. Bulletin of the Iranian Mathematical Society (BIMS) [1].

17. Differential Equations and Dynamical Systems [1].

18. Complex Analysis and Operator Theory [1].

19. The Journal of Analysis [1].

20. zbMATH [13].

21. MR [4].

Google Scholar link: https://scholar.google.com/citations?user=_MkGlWQAAAAJ&hl=en

Researchgate Link: https://www.researchgate.net/profile/Prashanta-Garain

ArXiv Link: https://arxiv.org/search/math?query=Garain%2C+Prashanta&searchtype=author&abstracts=show&order=-announced_date_first&size=50

MathScinet: https://mathscinet.ams.org/mathscinet/search/author.html?mrauthid=1239252