Publications

15. Extremals for the singular Moser-Trudinger inequality via n-harmonic transplantation, Journal of Differential Equations (with Gyula Csato, and Van Hoang Nguyen).

14. Study of fractional Poincar\'e inequalities on unbounded domains., Discrete Continuous and Dynamical systems, 2020 (with I. Chowdhury, G. Csato and Firoz SK)

13. Bourgain - Brezis- Mironescu domains , Nonlinear Analysis, 199 (2020) (with Kaushik Bal, Kaushik Mohanta).

12. On the asymptotic behavior of the eigenvalues of nonlinear elliptic problems in domains becoming unbounded , Asymptotic Analysis (with Firoz SK, Luca Esposito). link

11. On attainability of Moser-Trudinger inequality with logarithmic weights in higher dimensions. Discrete Continous and Dynamical. Systems. 39 (2019), no. 9, 5207–5222. link

10. On the asymptotic analysis of problems involving fractional Laplacian in cylindrical domains tending to infinity. Communications in Contemporary Mathematics. 19 (2017), no. 5, 1650035, 21 pp. (With Indranil Chowdhury). link

9. Singular Moser-Trudinger inequality on simply connected domains. Communications in Partial Differential Equations 41 (2016), no. 5, 838–847. (with Gyula Csato). link

8. On some variational problems set on domains tending to infinity.. Discrete Continous and Dynamical Systems 36 (2016), no. 7, 3603–3621. (with Michel Chipot and Alexander Mojsic). link

7. Extremal function for Moser-Trudinger type inequality with logarithmic weight. link Nonlinear Analysis. 135 (2016), 194–204.

6. Extremal functions for the singular Moser-Trudinger inequality in 2 dimensions. Calc. Var. Partial Differential Equations 54 (2015), no. 2, 2341–2366. (with Gyula Csato). link

5. Existence results for some nonlocal problems. Differ. Equ. Appl. 6 (2014), no. 3, 361–381. link

4. Existence results for some functional elliptic equations. Differential Integral Equations 27 (2014), no. 3-4, 289–300. (with Michel Chipot). link

3. Asymptotics of eigenstates of elliptic problems with mixed boundary data on domains tending to infinity. Asymptotic Analysis. 85 (2013), no. 3-4, 199–227. (with Michel Chipot and Ital Shafrir). link

2. Value functions for certain class of Hamilton Jacobi equations. Proc. Indian Acad. Sci. Math. Sci. 121 (2011), no. 3, 349–367. (with Anup Biswas and Rajib Dutta)

1. On a problem for isometric mappings of 𝕊n posed by Th. M. Rassias. JIPAM. J. Inequal. Pure Appl. Math. 10 (2009), no. 1, Article 28, 7 pp (with Anup Biswas)