Personal Information
Analysis of PDEs,
Calculus of Variations,
Analysis of Chemotaxis Systems
Education:
1) PhD in Mathematics from IIT Gandhinagar (2020-2023)
2) M.Sc. in Mathematics from Savitribai Phule Pune University (2017-2019)
Experience:
1) Vikram Sarabhai Research Fellow at IIT Gandhinagar (July 2023-June
2024)
2) Postdoctoral Fellow at IIT Bombay (June 2024-November 2024)
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My area of research is Analysis of PDEs, particularly in the areas of Calculus of Variations. The primary subjects of my research work include Integro-Differential Equations, Degenerate Elliptic Problems, Analysis of Chemotaxis
Systems (Parabolic PDEs) and Lane-Emden Systems. Specifically, I investigate questions concerning existence, uniqueness, multiplicity and asymptotic behaviour of solutions
| S. No. | Authors | Title of Article | Journal/Conference Details | Journal/Conference | Publication Year |
|---|---|---|---|---|---|
| 1 | Somnath Gandal | Three non-zero solutions of a Neumann eigenvalue problem involving the fractional p-Laplacian | Journal of Elliptic and Parabolic Equations | Journal | 2025 |
| 2 | Somnath Gandal and Jagmohan Tyagi | Existence and shape of solutions for a class of elliptic systems on the critical hyperbola | Complex Variables and Elliptic Equations, 1-37 | Journal | 2025 |
| 3 | Somnath Gandal and Jagmohan Tyagi | Asymptotic behaviour of the least energy solutions of fractional semilinear Neumann problem | Journal of the Australian Mathematical Society | Journal | 2025 |
| 4 | A. Akilandeeswari, Somnath Gandal and Jagmohan Tyagi | Global solutions for time-space fractional fully parabolic Keller–Segel system | Zeitschrift für Analysis und ihre Anwendungen | Journal | 2025 |
| 5 | C. O. Alves, Somnath Gandal, Annunziata Loiudice and Jagmohan Tyagi | Brezis-Nirenberg type problem for a class of degenerate elliptic equations involving the Grushin operator | The Journal of Geometric Analysis | Journal | 2025 |
| 6 | Somnath Gandal and Jagmohan Tyagi | The Neumann problem for a class of semilinear fractional equations with critical exponent | Bulletin des Sciences Mathématiques | Journal | 2023 |
Attended
•Recent advances in Partial differential equations: Theory and Computations, IIT Bombay, 25- 26 October, 2024.
• A Symposium on Luis Caffarelli’s works, TIFR CAM Bangalore, 05-09 June, 2023.
• Workshop on analysis of differential equations, IIT Gandhinagar, 01-03 March2023.
• 37th annual conference of Ramanujan mathematical society, SSN college of engineering, 06-08 December 2023.
• Lecture series on Elementary Elliptic PDEs at IIT Gandhinagar, Feb-2021 (Instructor: Enrico Valdinoci).
• Lecture series on Analysis of Chemotaxis Systems at IIT Gandhinagar, Feb-2022 (Instructor: Michael Winkler).
• Workshop on inverse problems and related topics, ICTS Bangalore, October 2021.
• Research meets on partial differential equations: recent developments, IIT Gandhinagar, February 2020.
• Mathematics training and talent search programme (MTTS), IIT Madras, June 2016.
| Title | Attachment File | Other Link |
|---|---|---|
 Somnath_CV (8).pdf |
