Area of Research:
Analysis of Partial Differential Equations
Non-Local Elliptic Equations
Variational Methods
PUBLICATIONS:
Published Articles:
34. Ambesh Kumar, Sarika Goyal and Rasmita Kar, Hardy-Sobolev operator with critical and variable singular exponent, Asymptotic Analysis (Accepted, 2026).
33. Vishal Kumar and Sarika Goyal, On the existence of infinitely many solution for Kirchhoff Hardy modified Schrödinger equations with critical Choquard type nonlinearity, Applicable Analysis (2025).
32. Anu Rani and Sarika Goyal, p-Biharmonic Equation Involving Choquard Nonlinearity, Mathematical Methods in Applied Sciences (2025).
31. Diksha Saini and Sarika Goyal, On Kirchhoff equation with Hardy potential and critical Choquard type nonlinearity, Journal of Mathematical Analysis and Applications, 552 (2025) 129722.
30. Shammi Mahlotra, Sarika Goyal and K. Sreenadh, On the eigenvalues and Fucik spectrum of p-Laplace local and nonlocal operator with mixed interpolated Hardy term, Asymptotic Analysis (2025).
29. Shammi Mahlotra, Sarika Goyal and K. Sreenadh, Quasilinear Schrödinger Equation involving Critical Hardy Potential and Choquard type Exponential nonlinearity, Journal of Mathematical Analysis and Applications, 548 (2025) 129361.
28. Sarika Goyal and Sandeep Kunnath, On a perturbed critical semilinear equation with singularity, Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1–35 (2025).
27. Reshmi Biswas, Sarika Goyal and K. Sreenadh, Modified quasilinear equations with strongly singular and critical exponential nonlinearities, Advances in Nonlinear Analysis, 13 (2024), 20240019.
26. Reshmi Biswas, Sarika Goyal and K. Sreenadh, Quasilinear Schrödinger equations with Stein-Weiss type convolution and critical exponential nonlinearity in Rn, Journal of Geometric Analysis, 34(2) (2024).
25. Anu Rani and Sarika Goyal, Biharmonic System with Hartree-Type Critical Nonlinearity, Electronic Journal of Qualitative Theory of Differential Equations (2023), No. 2, 1–36.
24. Reshmi Biswas, Sarika Goyal and K. Sreenadh, Multiplicity results for p-Kirchhoff–Schrödinger equations with Stein-Weiss type nonlinearity in Rn, Differential and Integral Equations (2023), 247–288.
23. 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.
22. Reshmi Biswas, Sarika Goyal and K. Sreenadh, Quasilinear Choquard equations involving N-Laplacian and critical exponential nonlinearity, Mathematical Methods in Applied Sciences, 45(16) (2022), 9483–9503.
21. 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.
20. Sarika Goyal and Tuhina Mukherjee, Kirchhoff equations with Choquard exponential type nonlinearity involving the fractional Laplacian, Acta Applicandae Mathematicae, 172 (2021).
19. 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.
18. Sarika Goyal, Nonresonance and resonance problems for nonlocal elliptic equations with respect to the Fucik spectrum, Taiwan Journal of Mathematics, 24 (2020), 1153–1177.
17. Sarika Goyal, Fractional Hardy-Sobolev operator with sign-changing and singular nonlinearity, Applicable Analysis, 99 (2019), 1–25.
16. Sarika Goyal, A note on the eigenvalues of fractional Hardy-Sobolev operator with indefinite weight, Mathematische Nachrichten, 292(10) (2019), 2189–2202.
15. Divya Goel, Sarika Goyal and K. Sreenadh, First curve of Fucik spectrum for the p-fractional Laplacian operator with nonlocal normal boundary conditions, Electronic Journal of Differential Equations (2018), 1–21.
14. Sarika Goyal, Multiplicity results of fractional-Laplace system with sign-changing and singular nonlinearity, Electronic Journal of Differential Equations (2017), 1–28.
13. Sarika Goyal, On the eigenvalues and Fucik spectrum of p-fractional Hardy operator with weight function, Applicable Analysis, 97 (2017), 1–26.
12. Sarika Goyal, Multiplicity results of fractional p-Laplace equations with sign-changing and singular nonlinearity, Complex Variables and Elliptic Equations, 62 (2016), 158–183.
11. Sarika Goyal and K. Sreenadh, Fractional elliptic equations with sign-changing and singular nonlinearity, Electronic Journal of Differential Equations, 2016 (2016), 1–23.
10. Pawan Kumar Mishra, Sarika Goyal and K. Sreenadh, Polyharmonic Kirchhoff type equations with singular exponential nonlinearities, Communications in Pure and Applied Analysis, 15 (2016), 1689–1717.
9. Sarika Goyal, K. Sreenadh and Pawan Kumar Mishra, n-Kirchhoff type equations with exponential nonlinearities, RACSAM, 110 (2016), 219–245.
8. 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, 4 (2015), 177–200.
7. Sarika Goyal and K. Sreenadh, The Nehari manifold for non-local elliptic operator with concave-convex nonlinearities and sign-changing weight functions, Proceedings of the Indian Academy of Sciences: Mathematical Sciences, 125 (2015), 545–558.
6. Sarika Goyal and K. Sreenadh, Existence of multiple solutions of p-fractional Laplace operator with sign-changing weight function, Advances in Nonlinear Analysis, 4 (2015), 37–58.
5. Sarika Goyal and K. Sreenadh, Existence of nontrivial solutions to quasilinear polyharmonic equations with critical exponential growth, Advances in Pure and Applied Mathematics, 6 (2015), 1–11.
4. Sarika Goyal and K. Sreenadh, On multiplicity of positive solutions for n-Laplacian with singular and critical nonlinearity, Complex Variables and Elliptic Equations, 59 (2014), 1636–1649.
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, 2014 (2014), No. 15, 1–22.
2. Sarika Goyal and K. Sreenadh, On the Fucik spectrum of non-local elliptic operators, Nonlinear Differential Equations and Applications, 21 (2014), 567–588.
1. Sarika Goyal and K. Sreenadh, The Nehari manifold approach for n-Laplace equation with singular and exponential nonlinearities in Rn, Communications in Contemporary Mathematics, 17 (2013), 1450011–1450033.
Submitted Articles:
Divya Goel, Sarika Goyal and Diksha Saini, p-biharmonic Kirchooff equations with Hardy-Littlewood-Sobolev critical nonlinearity.
Diksha Saini and Sarika Goyal, Multiple solutions for the system of p-Kirchhoff equation with Hardy Potential and Stein-Weiss type critical nonlinearity in RN .
Shammi Mahlotra, Sarika Goyal and K. Sreenadh, Asymptotic behaviour and existence of positive solutions for mixed local nonlocal elliptic equations with Hardy potential.
Diksha Saini, Sushmita Rawat and Sarika Goyal, Mixed local and nonlocal elliptic problem with asymmetric nonlinearity.
Diksha Saini and Sarika Goyal, m-polyharmonic equation involving Stein-Weiss type critical nonlinearity with indefinite weights.