Personal Webpage of Hernan Castro
Contact - Teaching -
Publications - Preprints
Office: Room 624, Hill Center, Busch Campus
Office Hours: Tuesday 11:00am-12:30pm
e-mail: castroh {at} math {dot} rutgers {dot} edu
Things you might want to know about me
I'm from Chile (that really
long and narrow country in South America). I have a B.S. in Mathematics and a
"title" that might be translated as "Mathematical Civil Engineer" (it is kind
of equivalent to a M.S. in Mathematics) from the University of Chile. Like most
of south american people I enjoy soccer football, not the american
one where you barely use your feet, and the ball is not even
round (sure, as topological spaces they're the same, though I don't
think the guys who created it had that in mind), but the
sport created by some english guy that we in spanish call futbol; and
of course doing some math. I'm currently interested in Partial
Differential Equations and Functional Analysis
and I'm currently working on my thesis under the supervision of Prof. Haim
Brezis.
- A Hardy type inequality for $W^{m,1}_0(\Omega)$ functions (joint work
with J.
Davila and H. Wang),
J. Eur. Math. Soc. (accepted September 2011), preprint.
- A singular Sturm-Liouville equation under non-homogeneous boundary
conditions (joint work with H. Wang), Diff. Int. Eqns.
(accepted July 2011), preprint.
- A Hardy type inequality for $W^{2,1}_0(\Omega)$ functions (joint work
with J.
Davila and H. Wang),
C. R. Mathematique (accepted June 2011), preprint, doi:10.1016/j.crma.2011.06.026
- A singular Sturm-Liouville equation under homogeneous boundary conditions
(joint work with H.
Wang), J. Funct. Analysis (accepted May 2011), preprint, doi:10.1016/j.jfa.2011.05.012
- A Hardy type inequality for $W^{m,1}(0,1)$ functions (joint work with H. Wang), Calc. Var. and
PDE's (accepted February 2010), doi:10.1007/s00526-010-0322-6
- Solutions with spikes at the boundary for a 2D nonlinear Neumann problem
with large exponent, J. Diff. Eqns. (accepted February 2009), doi:10.1016/j.jde.2009.02.001
- Bifurcation analysis for a non-linear singular Sturm-Liouville equation,
in preparation.
- Uniqueness results for a non-linear singular Sturm-Liouville equation, in
preparation.
last modified 04/08/12