Professor, Mathematical Sciences
Ph.D., Mathematics, Courant Institute, New York University, 1996
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
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
Noncompact variational problems, free boundary problems
[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.