Kaushik Bal

Partial Differential Equations:

1. Multiplicity result to a singular quasilinear Schrödinger equation. J. Math. Anal. Appl. 497 (2021), no. 2, 124904 with Garain Prashanta; Mandal, Indubaran and Sreenadh, Konijeti.

2. Multiplicity of solution for a quasilinear equation with singular nonlinearity. Mediterr. J. Math. 17 (2020), no. 4, Paper No. 100, 20 pp with Garain, Prashanta.

3. Nonexistence results for weighted p-Laplace equations with singular nonlinearities. Electron. J. Differential Equations 2019, Paper No. 95, 12 pp with Garain, Prashanta.

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

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

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

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

8. Some results about a quasilinear singular parabolic equation. Differ. Equ. Appl. 3 (2011), no. 4, 609–627.

9. Weighted and anisotropic Sobolev inequality with extremal. Manuscripta Mathematica (2021) with Prashanta Garain.

10. Finsler-Laplace equations with variable singular exponent. Advances in Differential Equations (2021) with Prashanta Garain and Tuhina Mukherjee.

Functional Analysis:

1. Bourgain-Brezis-Mironescu domains. Nonlinear Anal. 199 (2020), 111928, 10 pp with Mohanta, Kaushik and Roy, Prosenjit.

2. Hardy inequalities for Finsler p-Laplacian in the exterior domain. Mediterr. J. Math. 14 (2017), no. 4, Paper No. 165, 12 pp.

3. Hardy and Poincar\'e inequalities in fractional Orlicz-Sobolev space. arXiv preprint arXiv:2009.07035 with Mohanta, Kaushik Roy, Prosenjit and Sk, Firoj.