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Gaurav Dwivedi

Assistant Professor, Department of Mathematics,
BITS Pilani, Pilani Campus

Nonlinear Elliptic Partial Differential Equations
Department of Mathematics, Birla Institute of Technology & Science, Pilani- 333031, Rajasthan. India.

Publications

  1. A. Arora,  G. Dwivedi, Existence of Weak Solutions for Kirchhoff Type Double-phase Problem in R^N, Mathematical Methods in the Applied Sciences, vol. 47, no. 6, 2024, pp. 4734-4755, https://doi.org/10.1002/mma.9836. 
  2. A. Arora, G. Dwivedi, Existence Results for Singular Double Phase Problem with Variable Exponents, Mediterr. J. Math. 20, 155 (2023), https://doi.org/10.1007/s00009-023-02366-6
  3. S. Gupta, G. Dwivedi, Kirchhoff Type Elliptic Equations with Double Criticality in Musielak–Sobolev Spaces, Mathematical Methods in the Applied Sciencesvol. 46no. 82023pp. 8463-8477https://doi.org/10.1002/mma.8991
  4. S. Gupta, G. Dwivedi,  Ground state solution to N-Kirchhoff equation with critical exponential growth and without Ambrosetti–Rabinowitz condition. Rend. Circ. Mat. Palermo, II. Ser 73, 45–56 (2024). https://doi.org/10.1007/s12215-023-00902-7
  5. G. Dwivedi, J.Tyagi, Biharmonic elliptic problems with second Hessian and gradient nonlinearities, Mathematische Nachrichten, Volume  296, Issue 3 , 1056-1070, DOI: 10.1002/mana.202100069.
  6. G. Dwivedi, S. Gupta, Existence of solution to Kirchhoff type problem with gradient nonlinearity and a perturbation term, Journal of Elliptic and Parabolic Equations, 8, (2022), 533–553.DOI:10.1007/s41808-022-00164-x.
  7. S. Gupta, G. Dwivedi, Existence and multiplicity of solutions to N-Kirchhoff equations with critical exponential growth and a perturbation term, Complex Variables and Elliptic Equations,(2022), DOI: 10.1080/17476933.2022.2048297.
  8. S. Gupta, G. Dwivedi, An existence result for p-Laplace equation with gradient nonlinearity in R^N, Communications in Mathematics, Volume 30 Issue 1, (2022), DOI:10.46298/cm.9316.
  9. Shilpa, G. Dwivedi, Existence of solution to a nonlocal biharmonic problem with dependence on gradient and Laplacian, Journal of Applied Analysis, Volume 28, Issue 2, 2022, DOI:10.1515/jaa-2021-2073.
  10. G. Dwivedi, Generalized Picone Identity for Finsler p-Laplacian and Its Applications, Ukrains’kyi Matematychnyi Zhurnal (Ukrainian Mathematical Journal), Vol. 73, no. 11, (2021), 1451-1460, doi:10.37863/umzh.v73i11.1050.
  11. G. Dwivedi, Existence of Multiple solutions for a Kirchhoff type equation involving polyharmonic operator with exponential growth, Applied Mathematics E-Notes, 21(2021), 577-586.
  12. G. Dwivedi, Generalised Picone's identity and some Qualitative properties of p-sub-Laplacian on Heisenberg groups, Advances in the Theory of Nonlinear Analysis and its Applications, 5 (2021) No. 2, 232-239.
  13. G. Dwivedi, J. Tyagi, R.B. Verma, Stability of positive solution to fractional logistic equations, Funkcialaj Ekvacioj, Volume 62, Issue 1, (2019), 61-73.
  14. G. Dwivedi, J. Tyagi, R.B. Verma, On the bifurcation for fractional Laplace equations, Mathematische Nachrichten, Volume290, Issue16,(2017), 2597-2611, DOI: 10.1002/mana201600250.
  15. G. Dwivedi, J. Tyagi, Some qualitative questions on the equation -div(a(x; u;$\nabla u$)) = f(x; u), Journal of Mathematical Analysis and Applications, 446(2017), 456-469.
  16. G. Dwivedi, J. Tyagi, Erratum to: Singular Adams inequality for biharmonic operator on Heisenberg Group and its applications, Nonlinear Differential Equations and Applications NoDEA, 24(26), (2017).
  17. G. Dwivedi, J. Tyagi, Singular Adams Inequality for biharmonic operator on Heisenberg group and Its applications, Nonlinear Differential Equations and Applications NoDEA, (2016), 23:58.
  18. G. Dwivedi, J. Tyagi, Picone's identity for biharmonic operators on Heisenberg group and its applications, Nonlinear Differential Equations and Applications NoDEA, (2016), 23:10.
  19. G. Dwivedi, J. Tyagi, A Note on the Caccioppoli Inequality for Biharmonic Operators, Mediterranean Journal of Mathematics, 13, (2016), 1823-1828.
  20. G. Dwivedi, J. Tyagi, Remarks on the qualitative questions for biharmonic operators, Taiwanese Journal of Mathematics, Volume19, Number 6, (2015), 1743-1758.
  21. G. Dwivedi, Existence of solutions to the biharmonic systems with indefinite weights, Differential Equations and Applications, Volume 6, Number 4, (2014), 495-516.