Publications:

• A non-existence result for a generalized radial Brezis-Nirenberg problem , with R.D. Benguria, arXiv:1901.09958 (submitted).

• An application of John ellipsoids to the Szego kernel on unbounded convex domains (Complex Var. Elliptic Equ. 62 (2017), no.3, 347-396.)

• The Brezis-Nirenberg problem for the Laplacian with a singular drift in Rn and Sn, with R. D. Benguria (Nonlinear Analysis 157 (2017), 189-211).

• An improved bound for the non-existence of radial solutions of the Brezis-Nirenberg problem in Hn , with R.D. Benguria, (J. Dittrich, H. Kovarik, A. Laptev (Eds.): Functional Analysis and Operator Theory for Quantum Physics. Pavel Exner Anniversary Volume, (2017) Europ. Math. Soc. Publ. House).

• The solution gap of the Brezis-Nirenberg problem on the hyperbolic space (Monatsh. Math. 181 (2016), no.3, 537-559.)

• A generalized Brezis-Nirenberg problem on the unit ball in spaces of fractional dimension, with R.D. Benguria, in preparation.

• Thesis: Estimates for the Szego kernel on unbounded convex domains.

CV

Instructor resources and information on 221/222/234 are posted on Administrivia, on the document entitled Resources for Calculus Instructors.

Links

PDE seminar schedule

Analysis seminar schedule