Faculty Profiles

Educational Background

Ph.D., Mathematics, Courant Institute, New York University, 1996

Professional Experience

Professor, Florida Institute of Technology, 2007-Present

Associate Professor, Florida Institute of Technology, 2002-2006

Assistant Professor, Florida Institute of Technology, Spring 2000-2001

Visiting Assistant Professor, University of California, Irvine, 1997-1999

Visiting Assistant Professor, Stevens Institute of Technology, New Jersey, Spring 1997

Short-term Positions

University of Ulsan, Republic of Korea, Spring 2018

Università degli Studi Mediterranea di Reggio Calabria, Italy, Winter 2015

Tsinghua University, Beijing, Summer 2015

Chinese Academy of Sciences, Beijing, Summer 2015

Università degli Studi Mediterranea di Reggio Calabria, Italy, Summer 2014

Massachusetts Institute of Technology, Fall 2013

University of Ulsan, Republic of Korea, Summer 2013

Uppsala University, Sweden, Summer 2012

Università degli Studi di Verona, Italy, Summer 2012

Universit'a degli Studi di Bari Aldo Moro, Italy, Summer 2012

Università Cattolica del Sacro Cuore, Brescia, Italy, Summer 2008

Stockholm University, Sweden, Summer 2003

University of Sydney, Australia, Summer 2000

Chinese Academy of Sciences, Beijing, Fall 1999

Current Research

Noncompact variational problems, free boundary problems

Selected Publications

[1] Yang, Y., Perera, K.
Existence and nondegeneracy of ground states in critical free boundary problems
Nonlinear Anal., to appear.
arXiv:1405.1108 [math.AP]

[2] Perera, K., Shivaji, R., Sim, I.
A class of semipositone p-Laplacian problems with a critical growth reaction term
Adv. Nonlinear Anal., to appear.
arXiv:1612.08921 [math.AP]

[3] Perera, K., Yang, Y., Zhang, Z.
Asymmetric critical p-Laplacian problems
Calc. Var. Partial Differential Equations (2018) 57: 131. https://doi.org/10.1007/s00526-018-1416-9.

[4] Perera, K., Zou, W.
p-Laplacian problems involving critical Hardy-Sobolev exponents
NoDEA Nonlinear Differential Equations Appl. (2018) 25: 25. https://doi.org/10.1007/s00030-018-0517-7.

[5] Perera, K., Tintarev, C., Wang, J., Zhang, Z.
Ground and bound state solutions for a Schrödinger system with linear and nonlinear couplings in RN
Adv. Differential Equations 23 (2018), no. 7-8, 615-648.

[6] Jerison, D., Perera, K.
Higher critical points in an elliptic free boundary problem
J. Geom. Anal. 28 (2018), no. 2, 1258-1294.

[7] Perera, K., Squassina, M.
Bifurcation results for problems with fractional Trudinger-Moser nonlinearity
Discrete Contin. Dyn. Syst. Ser. S 11 (2018), no. 3, 561-576.

[8] Perera, K., Squassina, M.
Existence results for double-phase problems via Morse theory
Commun. Contemp. Math. 20 (2018), no. 2, 1750023.