Mohan Mallick

Publications and Preprints

My research publications are mainly in nonlinear elliptic and parabolic partial differential equations, fully nonlinear operators, Pucci extremal operators, singular nonlinearities, bifurcation and multiplicity theory, optimal control, and shape optimization.

A complete and updated list is also available in my CV and academic profiles.

Preprints

  1. K. Rathore, M. Mallick, R. B. Verma. Lane–Emden systems with singular nonlinearities for fully nonlinear elliptic operators. arXiv:2601.19874 [math.AP], 2026. [arXiv]
  2. M. Mallick, R. B. Verma. Shape optimization for the principal eigenvalue of the Pucci operator in three dimensions. arXiv:2603.24362 [math.AP], 2026. [arXiv]
  3. K. Rathore, M. Mallick. Existence and multiplicity results for weakly coupled systems of Pucci’s extremal operator. arXiv:2603.25627 [math.AP], 2026. [arXiv]

Journal Articles and Accepted Papers

  1. M. Mallick, B. Son, S. Sundar, R. Shivaji. Bifurcation and multiplicity results for a class of n × n p-Laplacian systems. Communications on Pure and Applied Analysis, 17, 1295–1304, 2018. [CPAA]
  2. M. Mallick, L. Sankar, S. Sundar, R. Shivaji. Infinite semipositone problems with a falling zero and nonlinear boundary conditions. Electronic Journal of Differential Equations, 2018, 1–13, 2018. [EJDE]
  3. M. Mallick, S. Sundar. Existence, bifurcation, and multiplicity results for a class of n × n p-Laplacian systems. Springer Proceedings in Mathematics and Statistics, 320, 283–295, 2020. [PROMS]
  4. M. Mallick, R. B. Verma. A three-solution theorem for Pucci’s extremal operator. Topological Methods in Nonlinear Analysis, 58(1), 161–179, 2021. [TMNA]
  5. M. Mallick, S. Sasi, S. Sundar, R. Shivaji. Bifurcation, uniqueness, and multiplicity results for reaction-diffusion equations with nonlinear boundary conditions. Communications on Pure and Applied Analysis, 21(2), 705–726, 2022. [CPAA]
  6. M. Mallick, R. B. Verma. Multiplicity results on systems of Pucci extremal operators. Monatshefte für Mathematik, 2024, 1–23. [MfM]
  7. M. Mallick, Ardra A., Sarath Sasi. Optimal harvesting for a logistic model with grazing. Evolution Equations and Control Theory, 2024, 1–19. [EECT]
  8. M. Mallick, R. B. Verma. Multiplicity results for fully nonlinear elliptic equations with natural gradient growth. Mathematical Methods in the Applied Sciences, 2025. [MMA]
  9. R. B. Verma, M. Mallick. Exceptional boundary sets for fully nonlinear parabolic PDEs. Journal of Evolution Equations, 25, Article 63, 2025. [JEE]
  10. M. Mallick, R. B. Verma. Regularity for fully nonlinear elliptic equations with natural growth in gradient and singular nonlinearity. Journal of Differential Equations, 441, Article 113477, 2025. [JDE]
  11. Ardra A., M. Mallick, Sarath Sasi. On a shape derivative formula for the Robin p-Laplace eigenvalue. Topological Methods in Nonlinear Analysis, accepted. [arXiv]