Preprints:

1. Multiplicity of solutions to a degenerate elliptic equation in the sub-critical and critical cases with Sanjit Biswas.

2. Regularity results for a class of mixed local and nonlocal singular problems involving distance function with  Stuti Das.

3. Multiplicity of solutions for mixed local-nonlocal elliptic equations with singular nonlinearity with  Stuti Das .

4. Global stability and optimal control in a single-strain dengue model with fractional-order transmission and recovery process with Tahajuddin Sk, Santosh Biswas, and Tridip Sardar.

5. On a mixed local-nonlocal evolution equation with singular nonlinearity with Stuti Das.

6. Ground state solutions for quasilinear Schrodinger type equation involving anisotropic p-laplacian with Sanjit Biswas.

Manuscripts:

20. Bal, Kaushik; Mohanta, Kaushik; Mishra, Riddhi: On the singular problem involving fractional g-Laplacian; Complex Variables and Elliptic Equations; Published online: Nov 2024; https://doi.org/10.1080/17476933.2024.2429098.

19. Bal, Kaushik; Mohanta, Kaushik; Roy, Prosenjit: Magnetic fractional Poincaré inequality in punctured domains, J. Math. Anal. Appl. 535 (2024), no. 1, Paper No. 128103, 21 pp.

18. Bal, Kaushik; Biswas, Sanjit: Semilinear degenerate elliptic equation in the presence of singular nonlinearity. J. Pseudo-Differ. Oper. Appl. 14 (2023), no. 4, Paper No. 63, 25 pp.

17. Bal, Kaushik; Garain, Prashanta: Weighted Anisotropic Sobolev inequalities with extremal and associated singular problems. Differential and Integral Equations 36 (2023), no. 1-2, 59–92.

15. Bal, Kaushik; Garain, Prashanta: Weighted and anisotropic Sobolev inequality with extremal. Manuscripta Mathematica (2022).

14. Bal, Kaushik; Mohanta, Kaushik; Roy, Prosenjit and Sk, Firoj: Hardy and Poincaré inequalities in fractional Orlicz-Sobolev spaces. Nonlinear Anal. 216 (2022), Paper No. 112697.

13. Bal, Kaushik; Garain, Prashanta; Mandal, I and Sreenadh, K: Multiplicity result to a singular quasilinear Schrödinger equation. J. Math. Anal. Appl. 497 (2021), no. 2, Paper No. 124904, 20 pp.

12. Bal, Kaushik; Garain, Prashanta and Mukherjee, Tuhina On an anisotropic p-Laplace equation with variable singular exponent. Adv. Differential Equations 26 (2021), no. 11-12, 535–562. 

11. Bal, Kaushik; Mohanta Kaushik and Roy Prosenjit: Bourgain-Brezis-Miranescu domain. Nonlinear Analysis: Theory and Methods (2020), 12pp, Vol-XX. 

10. Bal, Kaushik and Garain, Prashanta: Multiplicity of solution to a quasilinear equation with singular nonlinearity. Mediterr. J. Math (2020), 18pp, No XX.

9. Bal, Kaushik and Garain, Prashanta: Nonexistence results for weighted p-Laplace equations with singular nonlinearities. Electron. J. Differential Equations (2019), Paper No. 95, 12pp. 

8. Bal, Kaushik; Garain, Prashanta and Mandal, Indubaran: Some qualitative properties of Finsler p-Laplacian. Indag. Math. (N.S.) 28 (2017), no. 6, 1258–1264.

7. Bal, Kaushik: Hardy Inequalities for Finsler p-Laplacian in the Exterior Domain. Mediterr. J. Math. 14 (2017), no. 4, 14:165. 

6. Bal, Kaushik: Uniqueness of a positive solution for quasilinear elliptic equations in Heisenberg group. Electron. J. Differential Equations 2016, Paper No. 130, 7 pp.

5. Bal, Kaushik: Generalized Picone's identity and its applications. Electron. J. Differential Equations 2013, No. 243, 6 pp.

4. Bal, Kaushik and Giacomoni, Jacques: A remark about symmetry of solutions to singular equations and applications, Monogr. Mat. García Galdeano, 37, Prensas Universitarias de Zaragoza, 2012, 25–35.

3. Badra, Mehdi; Bal, Kaushik and Giacomoni, Jacques: A singular parabolic equation: existence, stabilization. J. Differential Equations 252 (2012), no. 9, 5042–5075.

2. Badra, Mehdi; Bal, Kaushik and Giacomoni, Jacques: Existence results in a quasilinear and singular parabolic equation, Discrete Contin. Dyn. Syst.(2011), 117–125, ISBN: 978-1-60133-007-9; 1-60133-0075

1.Badra, Mehdi; Bal, Kaushik and Giacomoni, Jacques: Some results about a quasilinear singular parabolic equation. Differ. Equ. Appl. 3 (2011), no. 4, 609–627.