Research

I have interest in Partial Differential Equations, with a specialized emphasis on elliptic equations. My scholarly pursuits encompass a variety of topics, including variational methods, eigenvalue problems, critical exponents, and the regularity theory for solutions, particularly in the contexts of Hölder and Sobolev spaces.

Furthermore, I am deeply intrigued by the elegant intersection of differential geometry and PDEs. Within this sphere, my research is primarily centered on the classical Yamabe problem, its boundary variant, and other closely related questions within the broader framework of Riemannian geometry.