Publications

Regularity and existence for a mixed local-nonlocal parabolic equation with variable singularities and measure data, Nonlinear Differential equations and Applications NoDEA, https://doi.org/10.1007/s00030-026-01273-5.

Multiplicity of solutions for mixed local-nonlocal elliptic equations with singular nonlinearity, jointly with Kaushik Bal, Fractional calculus and Applied Analysis, https://doi.org/10.1007/s13540-026-00526-5. 

On a Mixed Local-Nonlocal Evolution Equation with Singular Nonlinearity, jointly with Kaushik Bal, Journal of Elliptic and Parabolic Equations, https://doi.org/10.1007/s41808-026-00456-6. 

Gradient Hölder Regularity in Mixed Local and Nonlocal Linear Parabolic Problem, Journal of Mathematical Analysis and Applications, https://doi.org/10.1016/j.jmaa.2024.128140. 

Regularity for the fractional logarithmic p-Laplacian, jointly with Nirjan Biswas and Abhrojyoti Sen, submitted, https://arxiv.org/abs/2607.11462.

Harnack inequality for mixed local-nonlocal weighted homogeneous equations, jointly with Nirjan Biswas, submitted, https://arxiv.org/abs/2604.14923.

Regularity results for a class of mixed local and nonlocal singular problems involving distance function, jointly with Kaushik Bal, submitted, https://arxiv.org/abs/2411.14217.