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π Early Academic Pursuits
Dr. Sarika Goyal, born on August 8, 1987, exhibited a strong inclination toward mathematics from an early age. She pursued her Bachelor of Arts in Mathematics (Hons.) from Lakshmi Bai College, University of Delhi, securing an impressive 83.88%. Continuing her academic excellence, she completed her Master of Arts in Mathematics from Hindu College, University of Delhi, with a score of 76.62%. Her M.Phil. dissertation, under the guidance of Dr. Ratikanta Panda, focused on “Weierstrass Theorem with Weights”, securing 75.4%.
πΌ Professional Endeavors
Dr. Goyal’s teaching career began in June 2016 at Bennett University, Greater Noida, where she served as an Assistant Professor until June 2021. She was later promoted to Associate Professor in July 2021 and continued in this role until February 2023. Currently, she is an Assistant Professor at Netaji Subash University of Technology (NSUT), Dwarka, since March 2023.
π¬ Contributions and Research Focus
Dr. Goyal has made significant contributions in the field of Mathematical Analysis, specializing in Partial Differential Equations and Non-Local Elliptic Equations. Her Ph.D. research, supervised by Dr. K. Sreenadh, focused on “Elliptic Equations and Non-Local Elliptic Equations with Sign-Changing Nonlinearities”. She also completed a Post-Doctoral Fellowship at IIT Delhi (2015-2016), further refining her expertise in Variational Methods.
πΒ Impact and Influence
Beyond research, Dr. Goyal has mentored several Ph.D. students, shaping the next generation of mathematicians. Notable students under her guidance include Anu Rani, Tarun Sharma, Diksha Saini, Abhishek, and Vishal, who have pursued successful careers in academia and research. She has also chaired academic sessions at prestigious conferences such as the Ramanujan Mathematical Society Conference (IIT Guwahati, 2023) and the SIAM Conference on Analysis of Partial Differential Equations (California, 2019).
π Awards and Recognitions
Dr. Goyal has received numerous awards, including:
- Bharat Vikas Award (2017)
- 8th Venus International Research Award (2022)
- NBHM Post-Doctoral Fellowship (2015)
- CSIR-UGC Junior Research Fellowship (2009)
- Selected among the top 100 Women Mathematicians worldwide for ICM-2014 (Seoul, South Korea)
- International Travel Grants from DST-SERB & NBHM to present research in USA, Brazil, Italy, and Abu Dhabi
πͺ Legacy and Future Contributions
Dr. Goyal continues to make a lasting impact in the field of mathematics through her research, teaching, and mentorship. Her dedication to advancing knowledge in Elliptic Equations, Variational Methods, and Partial Differential Equations ensures that she remains at the forefront of mathematical sciences. She aims to further expand her research collaborations, contribute to policy-making in mathematical education, and inspire young scholars to explore the vast realms of mathematics.
Publications Top Notes
π Existence of multiple solutions of p-fractional Laplace operator with sign-changing weight function
π
2015 | π’ 69 citations
βοΈ S Goyal, K Sreenadh
π Advances in Nonlinear Analysis 4 (1), 37-58
π Nehari manifold for non-local elliptic operator with concaveβconvex nonlinearities and sign-changing weight functions
π
2015 | π’ 62 citations
βοΈ S Goyal, K Sreenadh
π Proceedings-Mathematical Sciences 125, 545-558
π On the FuΔik spectrum of non-local elliptic operators
π
2014 | π’ 24 citations
βοΈ S Goyal, K Sreenadh
π Nonlinear Differential Equations and Applications NoDEA 21, 567-588
π n-Kirchhoff type equations with exponential nonlinearities
π
2016 | π’ 22 citations
βοΈ S Goyal, PK Mishra, K Sreenadh
π Revista de la Real Academia de Ciencias Exactas, FΓsicas y Naturales. Serie β¦
π Quasilinear SchrΓΆdinger Equations With Stein-Weiss Type Convolution and Critical Exponential Nonlinearity
π
2024 | π’ 12 citations
βοΈ R Biswas, S Goyal, K Sreenadh
π The Journal of Geometric Analysis 34 (2), 54
π Polyharmonic Kirchhoff type equations with singular exponential nonlinearities
π
2016 | π’ 12 citations
βοΈ PK Mishra, S Goyal, K Sreenadh
π arXiv preprint arXiv:1604.00155
π The Nehari manifold approach for N-Laplace equation with singular and exponential nonlinearities in βN
π
2015 | π’ 12 citations
βοΈ S Goyal, K Sreenadh
π Communications in Contemporary Mathematics 17 (03), 1450011
π Multiplicity results of fractional p-Laplace equations with sign-changing and singular nonlinearity
π
2017 | π’ 10 citations
βοΈ S Goyal
π Complex Variables and Elliptic Equations 62 (2), 158-183
π Fractional Hardy-Sobolev operator with sign-changing and singular nonlinearity
π
2020 | π’ 9 citations
βοΈ S Goyal
π Applicable Analysis 99 (16), 2892-2916
π Multiplicity results for Kirchhoff modified SchrΓΆdinger equations with Stein-Weiss type critical nonlinearity
π
2023 | π’ 7 citations
βοΈ R Biswas, S Goyal, K Sreenadh
π Differential and Integral Equations 36 (3/4), 247-288
π Multiple solutions for biharmonic critical Choquard equation involving sign-changing weight functions
π
2022 | π’ 7 citations
βοΈ A Rani, S Goyal
π On the eigenvalues and FuΔik spectrum of p-fractional Hardy-Sobolev operator with weight function
π
2018 | π’ 7 citations
βοΈ S Goyal
π Applicable Analysis 97 (4), 633-658
π Fractional elliptic equations with sign-changing and singular nonlinearity
π
2016 | π’ 7 citations
βοΈ S Goyal, K Sreenadh
π Electronic Journal of Differential Equations 2016 (145), 1-23
π The Nehari manifold for a quasilinear polyharmonic equation with exponential nonlinearities and a sign-changing weight function
π
2015 | π’ Not provided
βοΈ S Goyal, K Sreenadh
π Advances in Nonlinear Analysis 4 (3), 177-200