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, Summer 2022

Universit'a degli Studi di Bari Aldo Moro, Italy, Summer 2022

Universit'a degli Studi di Catania, Italy, Summer 2019

Universit'a degli Studi di Bari Aldo Moro, Italy, Summer 2019

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

Selected Publications

[1] Perera, K., Sportelli, C.
New linking theorems with applications to critical growth elliptic problems with jumping nonlinearities
J. Differential Equations 349 (2023), 284-317.

[2] Candela, A. M., Perera, K., Sportelli, C.
On a class of supercritical N-Laplacian problems
Nonlinear Anal. Real World Appl. 71 (2023) 103817.

[3] Ho, T. C., Perera, K.
On a class of critical N-Laplacian problems
Proc. Edinb. Math. Soc. (2) 65 (2022), no. 2, 556-576.

[4] Mercuri, C., Perera, K.
New multiplicity results for critical p-Laplacian problems
J. Funct. Anal. 283 (2022), no. 4, Paper No. 109536, 24 pp.

[5] Hajaiej, H., Perera, K.
Ground state and least positive energy solutions of elliptic problems involving mixed fractional p-Laplacians
Differential Integral Equations 35 (2022), no. 3-4, 173-190.

[6] Mugnai, D., Perera, K., Proietti Lippi, E.
A priori estimates for the fractional p-Laplacian with nonlocal Neumann boundary conditions and applications
Commun. Pure Appl. Anal. 21 (2022), no. 1, 275-292.

[7] Hasani, E., Perera, K.
On the compactness threshold in the critical Kirchhoff equation
Discrete Contin. Dyn. Syst. 42 (2022), no. 1, 1-19.

[8] Candito, P., Marano, S. A., Perera, K.
Pairs of nontrivial solutions to concave-linear-convex type elliptic problems
Commun. Contemp. Math. 23 (2021), no. 8, 2050057.

[9] Perera, K.
On the existence of ground state solutions to critical growth problems nonresonant at zero
C. R. Math. Acad. Sci. Paris 359 (2021), no. 9, 1161-1164.

[10] Perera, K.
An abstract critical point theorem with applications to elliptic problems with combined nonlinearities
Calc. Var. Partial Differential Equations 60 (2021), no. 5, Paper No. 181, 23 pp.

[11] Perera, K.
On a class of elliptic free boundary problems with multiple solutions
NoDEA Nonlinear Differential Equations Appl. 28, 36 (2021).

[12] Fu, S., Perera, K.
On a class of semipositone problems with singular Trudinger-Moser nonlinearities
Discrete Contin. Dyn. Syst. Ser. S 14 (2021), no. 5, 1747-1756.

[13] Fu, S., Perera, K.
On critical elliptic problems with singular Trudinger-Moser nonlinearities
Nonlinear Anal. 203 (2021) 112154.

Research

Variational methods for nonlinear partial differential equations