I am currently a Ph.D. student at George Mason University. I hold a Bachelor’s degree, an Engineering degree, and a Master’s degree, all in Mathematics, from Universidad Técnica Federico Santa María, where I completed my studies under the supervision of Dr. Leonelo Iturriaga. My research focuses on nonlinear analysis of partial differential equations. At present, I am expanding my expertise by studying the numerical analysis of partial differential equations under the supervision of Dr. Harbir Antil.

More specific details about my area of interest:

I am particularly interested in the study of existence and multiplicity of solutions obtained through min-max techniques, such as the Mountain Pass Theorem. I also enjoy working with other methods, including fixed-point theorems and the method of sub- and super-solutions. The operator I have studied most extensively is the p-Laplace operator, under both homogeneous and nonhomogeneous Dirichlet boundary conditions.