Area of Research: 

•  Analysis of Partial Differential Equations

• Non-Local Elliptic Equations

• Variational Methods

PUBLICATIONS:

Published Articles:

• 35. Vishal Kumar and Sarika Goyal, Systems of Kirchhoff quasilinear Schrodinger equations with Hardy potential and critical Choquard-type nonlinearity, Electronic Journal of Differential Equations, 60, 2026(2026), 1-29.

• 34.  Ambesh Kumar, Sarika Goyal and Rasmita Kar, Hardy-Sobolev operator with critical and variable singular exponent, Asymptotic Analysis, (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) 1-38.

• 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.

• Nurun Nesha,  Diksha Saini and Sarika Goyal, Positive Solution For Critical Elliptic Problem with Hardy Potential And Logarithmic Perturbation.

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• Abhishek and Sarika Goyal, On the existence results for Polyharmonic equation with  critical choquard Nonlinearity.