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Dr. Sarika
Assistant Professor
Qualification
Ph.D.
Phone
9873449484
Email
sarika@nsut.ac.in

 

Bio-Sketch:

Dr. Sarika is an Assistant professor at the Department of Mathematics, Netaji Subhas University of Technology, New Delhi. She obtained her M. Sc. and M.Phil. (Mathematics)degrees from Department of Mathematics, University of Delhi. She completed her PhD in 2015 and one year PDF from the Department of Mathematics, Indian Institute of Technology Delhi. She obtained distinctions in Doctoral research for the year 2015.

Prior to joining the NSUT, she has worked with Bennett University as an Assistant Professor from June 2016 to June 2021 and as an Associate Professor from July 2021- Feb 2023 in the Department of Mathematics. 

Areas of Interest:

Analysis of Partial Differential Equations,

Non-Local Elliptic Partial Differential Equations,

Variational Method.

Researcher Ids:
Orcid Id Vidwan Id Google Scholar link Researcher Id
https://orcid.org/0000-0002-5070-1775 540595 cuhmozcAAAAJ LNP-7939-2024

 

List of Publications: 

28.  Reshmi Biswas, Sarika Goyal and K. Sreenadh, Modified quasilinear equations with strongly singular and critical exponential nonlinearities, Advances in Nonlinear Analysis,  13, (2024), 20240019.

27. Reshmi Biswas, Sarika Goyal and K. Sreenadh, Quasilinear Schrödinger equations with Stein-Weiss type convolution and critical exponential nonlinearity in R^N, Journal of Geometric Analysis, 34 (2) (2024)
  
26. Anu Rani and Sarika Goyal, {Biharmonic System with Hartree-Type Critical Nonlinearity}, Electronic Journal of Qualitative Theory of Differential Equations, 2 (2023), 1-36.

25. Reshmi Biswas, Sarika Goyal and K. Sreenadh, Multiplicity results for p-Kirchhoff Schrodinger equations with Stein-Weiss type nonlinearity in R^N, Differential and Integral Equations, 36(2023), 247-288.

24. Anu Rani and Sarika Goyal, p-Biharmonic Equation Involving Choquard Nonlinearity,  Mathematical Methods in Applied Sciences, (2022)

23. Anu Rani and Sarika Goyal, Multiple Solutions for Biharmonic Critical Choquard Equation Involving Sign-Changing Weight Functions, Topological Methods in Nonlinear Analysis, 59 (2022), 221-260.

  1. 22. Reshmi Biswas, Sarika Goyal and K. Sreenadh, Quasilinear Choquard Equations Involving N-Laplacian And Critical Exponential Nonlinearity, Mathematical Methods in Applied Sciences, (2022)  45( 16) 9483- 9503.

21. Sarika Goyal and Tarun Sharma, Fractional Kirchhoff Hardy problems with weighted Choquard and singular nonlinearity, Electronic Journal of Differential Equations, 2022(2022), 25, 1-29. 

20. Sarika Goyal and Tuhina Mukherjee, Kirchhoff Equations with Choquard Exponential Type Nonlinearity Involving the Fractional Laplacian, Acta Applicandae Mathematicae, 172 (2021)


19. Sarika Goyal, Nonresonance and resonance problems for nonlocal elliptic equations with respect to the Fu\v{c}ik spectrum, Taiwan Journal of Mathematics, 24 (2020), 1153–1177.

18. Anu Rani and Sarika Goyal, Multiple Solutions for a Polyharmonic System Involving Critical Nonlinearities with Sign-Changing Weight Functions, Electronic Journal of Differential Equations, 118 (2020), 1-25.

17. Sarika Goyal, A note on the eigenvalues of fractional Hardy-Sobolev operator with indefinite weight, Mathematische Nachrichten, 292 (10) (2019) 2189-2202

16. Sarika Goyal, Fractional Hardy-Sobolev operator with sign-changing and singular nonlinearity,  Applicable Analysis,(2019) 1-25.

15. Divya  Goel, Sarika Goyal and  K. Sreenadh, First curve of Fu\v{c}ik spectrum for the p-fractional Laplacian operator with nonlocal normal boundary conditions, Electronic Journal of Differential Equations, 2018 (2018)  1-21.

14. Sarika Goyal, Multiplicity results of fractional-Laplace system with sign-changing and singular nonlinearity, Electronic Journal of Differential Equations, 2017 (2017) 1-28.


13. Sarika Goyal, On the eigenvalues and Fu\v{c}ik spectrum of p-fractional Hardy Operator with weight function,  Applicable Analysis, (2017) 1-26.


12. Sarika Goyal, K. Sreenadh and Pawan Kumar Mishra, n-Kirchhoff type equations with exponential nonlinearities, Revista de la Real Academia de Ciencias Exactas, F\'{i}sicas y Naturales. Serie A. Matem\'{a}ticas (RACSAM), 110 (2016) 219-245.

11. Pawan Kumar Mishra, Sarika Goyal and K. Sreenadh, Polyharmonic Kirchhoff type equations with singular exponential nonlinearities, Communication in Pure and Applied Analysis, 15 (2016) 1689-1717.

10. Sarika Goyal and K. Sreenadh, Fractional elliptic equations with sign-changing and singular nonlinearity,  Electronic Journal of Differential Equations, 2016 (2016) 1-23.

9. Sarika Goyal, Multiplicity results of fractional p-Laplace equations with sign-changing and singular nonlinearity, Complex variable and Elliptic Equations, 62 (2016) 158-183.


8. Sarika Goyal and K. Sreenadh, Existence of nontrivial solutions to quasilinear polyharmonic equations with critical exponential growth, Advances in Pure and Applied Mathematics, vol 6 (2015) 1-11.

7. Sarika Goyal and K. Sreenadh, Existence of multiple solutions of p-fractional Laplace operator with sign-changing weight function, Advances in Nonlinear Analysis, vol 4 (2015) 37-58.

6. Sarika Goyal and K. Sreenadh, The Nehari manifold for non-local elliptic operator with concave-convex nonlinearities and sign-changing weight functions, Proc. Indian Acad. Sci. Math. Sci., 125 (2015) 545-558.

5. Sarika Goyal and K. Sreenadh, The Nehari Manifold for a quasilinear polyharmonic equation with exponential nonlinearities and a sign changing weight function, Advances in Nonlinear Analysis,  vol 4 (2015) 177-200.


4. Sarika Goyal and K. Sreenadh, On the Fu\v{c}ik spectrum of non-local elliptic operators, Nonlinear Differential Equation And Applications, vol 21, (2014) 567-588.

3. Sarika Goyal and K. Sreenadh, Lack of coercivity for n-Laplace equation with critical exponential nonlinearities in a bounded domain}, Electronic Journal of Differential Equations, vol 2014 (2014) no-15, 1-22.

2. Sarika Goyal and K. Sreenadh, On multiplicity of positive solutions for n-Laplacian with singular and critical
nonlinearity,  Complex Variables and Elliptic Equations,  vol 59 (2014) 1636-1649.

1. Sarika Goyal and K. Sreenadh, The Nehari manifold approach for n-Laplace equation with Singular and exponential nonlinearities in R^n,  Communication in Contemporary Mathematics, vol 17 (2013) 1450011-1450033.

Invited/Conference Talks:

 

  • A symposia talk on "Quasilinear Schrödinger Equations Involving Choquard Type
    Critical Nonlinearity" in the 38th Annual Conference of the Ramanujan Mathematical Society organized by IIT Guwahati during 22nd December to 24th December 2023.
  • Biharmonic equations with critical Choquard type nonlinearity" 37th Annual Conference of the Ramanujan Mathematical Society (RMS), SSN university Chennai from 6-8 December 2022.
  • "Elliptic problems with critical growth sign changing nonlinearities", International Conference on Differential Equations and Control Problems: Modeling, Analysis, and Computations(ICDECP19), Indian institute of Technology Mandi, during 17-19 June 2019.
  •  "Existence Result for Fractional Kirchhoff Equations Involving Choquard Exponential Nonlinearity" SIAM Conference on Analysis of Partial Differential Equations (PD19, La Quinta Resort and Club, La Quinta, California, U.S. during December 11 – 14, 2019.
  •   "Elliptic Partial Differential Equations involving polynomial/exponential type nonlinearities with sign-changing weight functions" Indian Women Annual Conference, Indian institute of Technology Bombay, during June 10- June 12 2019.
  •  "Multiplicity results of fractional Hardy-Sobolev elliptic equations with sign-changing and singular nonlinearity" in "2017 Annual Conference of Indian Women and Mathematics" held at Indian Institute Of Sciences, Bangalore during 13-15 July 2017.
  •  "Multiplicity results of fractional Laplace equations with sign-changing and singular nonlinearity"  in  "Conferences on Computational and Theoretical Partial Differential Equations", held at  National Institute of Technology Goa during 05-07 October 2016.
     
Project
  1.  Awarded  Serb Power Grant funded by SERB on "Quasilinear Elliptic Partial Differential Equations", 2023-2026, amount 20,62,324. STATUS: ONGOING.
  2.  Awarded  Mathematical Research Impact Centric Support (MATRICS) funded by DST-SERB on "Elliptic Equations Involving Hardy and Critical Exponent", 2019 - 2022, amount 6,66,000. STATUS: COMPLETED
  3.  Awarded Early Career Research Award funded by SERB on "Non Local Elliptic Partial Differential Equations", 2018-2021, amount 11,00,000. STATUS: COMPLETED.
Award/Scholarship
  •  Awarded scholarship in M.Phil by Delhi University.
  •  Awarded Council for Scientific and Industrial Research(CSIR-UGC) Junior Research Fellowship(JRF), December 2009.
  • Selected amongst 100 Women Mathematicians from all over the World to receive Travel Grant from Organizers of (ICM-2014) International Congress of Mathematicians at Seoul, South Korea.
  • Awarded Distinction in Doctoral research for the year 2015.
  •  Awarded NBHM Post Doctoral fellowship in 2015.
  •  Received fully financial support to attend workshop in ICTP Italy from ICTP, May 2017.
  • Awarded Bharat Vikas Award 2017.
  •  Selected to receive open Arms travel grant to attend ICM-2018 at Brazil.(did not avail).
  •  Received International Travel grant from NBHM to present research work in SIAM Conference in U. S. A , Dec 2019(did not avail).
  •  Received International Travel grant from DST-Serb to present research work in SIAM Conference in U. S. A, Dec 2019.
  •  Awarded 8th Venus International research Award, 2022. 
Selected Conference/Workshop Attended

 

  •  INDIAN WOMEN AND MATHEMATICS (IWM) Annual Conference held at IISER Bhopal, during July 13-15, 2023.
  •  a conference "New Perspectives in Nonlinear PDE” A research workshop in honor of Prof. Haim Brezis", June 2 -June 6 2019, Technion-Israel Institute of Technology, Israel.
  •  A conference on  Recent developments in Nonlinear Partial Differential Equations and Applications, November 1- November 4, 2017, TIFR Bangalore.
  •  Advanced School and Workshop on Nonlocal Partial Differential Equations and Applications to Geometry, Physics and Probability, 22 May – 2 June, 2017, ICTP Trieste Italy.
  •  Attended International IFCAM conference on Nonlinear PDE, March 28- March 29, 2017,  TIFR Bangalore.

 

PhD. Guided

1. Anu Rani, July 2017- July 2022, Title of Thesis: ’Existence and multiplicity results for nonlocal biharmonic and polyharmonic equations.

Currently working as Assistant Professor in Bennett University Greater Noida.

 

PG/UG Dissertation Guided:

Varsha Rani

 

Membership of Professional Bodies:
  • Ramanujan Mathematical Society
  • Indian Mathematical Society

 

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