| Education: |
Ph.D in Mathematics: Department of Mathematics, University of Puerto Rico at Río Piedras (August 2010).
| Research Interests: |
Elliptic and parabolic boundary value problems on non-smooth domains, Generation of operator semigroups, Potential theory, Analysis on fractals, Operator theory
| Teaching Interests: |
Differential Equations, Real & Complex Analysis, Functional Analysis, Operator Theory
| Articles: |
A. Vélez-Santiago. Embedding and trace results for variable exponent Sobolev and Maz ya spaces on non-smooth domains. Glasgow Mathematical Journal 58 (2016), 471-489.
A. Vélez-Santiago. Ambrosetti–Prodi-type problems for quasi-linear elliptic equations with nonlocal boundary conditions. Calculus of Variations and Partial Differential Equations 54 (2015), 3439-3469.
A. Vélez-Santiago. Global regularity for a class of quasi-linear local and nonlocal elliptic equations on extension domains. Journal of Functional Analysis 269 (2015), 1-46.
MORE ARTICLES ARE INCLUDED IN MY WEBPAGE
|Position: Assistant Professor|