People

 

Faculty: Velez Santiago, Alejandro

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

Webpage: http://www.uprm.edu/alejandro.velez2

Email: alejandro.velez2@upr.edu

Office: CH508D

Phone: 6341

Position: Assistant Professor

 

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