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Sweta Tiwari

Associate Professor Ph.D. (IIT Delhi)

+91 (0)361 258 2636    swetatiwari ◊ iitg ⋅ ac ⋅ in

Research Area: Differential Equation
Room No: E1-203
Personal Website | IRINS Profile

Department Responsibilities:
Faculty Advisor, M.Sc. (M & C) 2018

Research

My area of research is qualitative analysis of semilinear and quasilinear elliptic and parabolic equations. I study local and nonlocal elliptic equations with variable exponents, local and nonlocal elliptic equations in symmetric domains, Critical exponent problems using variational techniques, topological methods and semi-group theory.

Education

  • Ph.D Mathematics,

Dept. of Mathematics,
IIT Delhi, New Delhi, India.
Title of the Thesis: Elliptic equations with singular discontinuous nonlinearities and variable exponents.
Advisors: Dr. K. Sreenadh (IIT Delhi) and Dr. S. Prashanth (TIFR-CAM)

  • M.Sc (Mathematics),

School of Mathematics,
Devi Ahilya Vishwavidyalaya, Indore, India.

  • B.Sc B.Ed. (Integrated) ,

Regional Institute of Education(NCERT), Bhopal, India.

 

 


 

Experience

Assistant Professor (Joined in June 2016),
Department of Mathematics IIT Guwahati, India

Awards

  • Awarded Distinction in Doctoral Research for 2014 by Indian Institute of Technology Delhi.
  • Awarded DGAPA postdoctoral fellowship from Universidad Nacional Autónoma de México.
  • Awarded postdoctoral fellowship from National Board of Higher Mathematics (NBHM).
  • Awarded Charpak Fellowship-2012 (CEFIPRA) for collaborative research work at Laboratoire de Mathematiques et de Leurs Applications (LMAP), Pau (France).

Journal Publications

12. Jacques Giacomoni and Sweta Tiwari, " Existence and global behavior of solutions to fractional p-Laplacian parabolic problems ", Electron. J. Differential Equations [2018]

11. Mónica Clapp and Sweta Tiwari, " Existence and nonexistence of solutions to pure supercritical p-Laplacian problems", Journal of Fixed Point Theory and Applications [2017] , https://link.springer.com/article/10.1007/s11784-016-0358-0

10. R. Dhanya, S. Prashanth, K. Sreenadh and Sweta Tiwari, " Elliptic Problems in RN with Critical and Singular Discontinuous Nonlinearities", Complex Variables and Elliptic Equations , vol.61 (12) [2016] , http://www.tandfonline.com/doi/abs/10.1080/17476933.2016.1198787

9. Jacques Giacomoni, Sweta Tiwari and Guillaume Warnault, " Quasi-linear parabolic problem with p(x)-Laplacian: existence, uniqueness of weak solutions and stabilization", Nonlinear Differential Equations and Applications [2016] , http://link.springer.com/article/10.1007/s00030-016-0380-3

8. Mónica Clapp and Sweta Tiwari,, " Multiple solutions to a pure supercritical problem for the p-Laplacian", Calculus of Variations and Partial Differential Equations , vol.55 (7) [2016] , http://link.springer.com/article/10.1007%2Fs00526-015-0949-4

7. S. Prashanth, Sweta Tiwari, and K. Sreenadh, " Very singular problems with critical nonlinearities in two dimensions", Communications in Contemporary Mathematics [2016] , http://www.worldscientific.com/doi/abs/10.1142/S021919971650067X

6. Sweta Tiwari, " N-Laplacian Critical Problem with Discontinuous Non- linearities", Advances in Nonlinear Analysis , vol.4 (2) [2015] , https://www.degruyter.com/view/j/anona.2015.4.issue-2/anona-2014-0035/anona-2014-0035.xml

5. R. Dhanya, S. Prashanth, K. Sreenadh and Sweta Tiwari, " Critical growth elliptic problem in R2 with singular discontinuous nonlinearities", Advances in Differential Equations , vol.19 (5/6) [2014] , http://projecteuclid.org/euclid.ade/1396558057

4. K. Sreenadh and Sweta Tiwari, " On W1,p(x) versus C1 local minimizers of functionals related to p(x)-Laplacian", Applicable Analysis , vol.92 (6) [2013] , http://www.tandfonline.com/doi/abs/10.1080/00036811.2012.670224

3. K. Sreenadh and Sweta Tiwari, " Global multiplicity results for p(x)- Laplacian equations with nonlinear Neumann boundary condition", Differential and Integral Equations , vol.26 (7/8) [2013] , http://projecteuclid.org/euclid.die/1369057818

2. K. Sreenadh and Sweta Tiwari, " Multiple positive solutions of singular and critical elliptic problem in R2 with discontinuous nonlinearities", Nonlinear Differential Equations and Applications , vol.20 [2013] , http://link.springer.com/article/10.1007%2Fs00030-013-0232-3

1. Bhatia Sumit Kaur, K. Sreenadh and Sweta Tiwari, " On W1,p versus C1(Ω) local minimizers of functionals with critical growth", Applicable Analysis , vol.91 (9) [2012] , http://www.tandfonline.com/doi/abs/10.1080/00036811.2011.581234

Current

1 Arka Mukherjee
2 Monti Das

Completed

1 Reshmi Biswas
2 Uttam Kumar

No Project Available!

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