Preprints and Publications for Primary Interests

• (With R. Dhanya, and Jacques Giacomoni ) Multiplicity Results for Mixed Local Nonlocal Equations With Indefinite Concave-Convex Type Nonlinearity , Preprint Available, arXiv:2503.00365 (March 2025),  Submitted

• (With R. Dhanya, Uttam Kumar and Sweta Tiwari ) Fine Boundary Regularity For The Fractional (p,q)-Laplacian, Preprint Available, arXiv:2406.07995 (June 2024),  Submitted

• (With R. Dhanya, and Jacques Giacomoni ) Interior and Boundary Regularity of Mixed Local Nonlocal Problem with Singular Data and Its Applications, arXiv:2411.18505,  Accepted for publication in Nonlinear Analysis  (January 2026)

• (With R. Dhanya, Uttam Kumar and Sweta Tiwari ) Positive Solutions for Fractional p- Laplace Semipositone Problem with Superlinear Growth, Preprint Available, arXiv:2304.10887,  Mathematical Methods In The Applied Sciences (May 2025) 

• (Single Author) Symmetry and Monotonicity Property of a Solution of (p,q) Laplace Equation with Singular Term , arXiv:2304.10861, Zeitschrift für Analysis und ihre Anwendungen,( February 2024), no. 3/4, pp. 483–502

• (With Dhanya R and Indulekha MS )  Strong comparison principle for a p-Laplace equation involving singularity and its applications, arXiv:2203.11477,  Applied Mathematics Letters, (January 2023) Volume 135 

Preprints and Publications for Other Interests

• (With Joyentanuj Das ) Proof of a conjecture on Wiener index and eccentricity of a graph due to edge contraction, Discrete Applied Mathematics, Volume 307, January-2022.