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

Short-term Positions

University of Turin, Italy, Summer 2024

University of Modena and Reggio Emilia, Italy, Summer 2024

University of Palermo, Italy, Summer 2024

University of Western Australia, Perth, Summer 2023

University of Ulsan, Republic of Korea, Summer 2022

University of Bari Aldo Moro, Italy, Summer 2022

University of Catania, Italy, Summer 2019

University of Bari Aldo Moro, Italy, Summer 2019

University of Ulsan, Republic of Korea, Spring 2018

Mediterranea University of ​​Reggio Calabria, Italy, Winter 2015

Tsinghua University, Beijing, Summer 2015

Chinese Academy of Sciences, Beijing, Summer 2015

Mediterranea University of ​​Reggio Calabria, Italy, Summer 2014

Massachusetts Institute of Technology, Fall 2013

University of Ulsan, Republic of Korea, Summer 2013

Uppsala University, Sweden, Summer 2012

University of Verona, Italy, Summer 2012

University of Bari Aldo Moro, Italy, Summer 2012

Catholic University of the Sacred Heart, Brescia, Italy, Summer 2008

Stockholm University, Sweden, Summer 2003

University of Sydney, Australia, Summer 2000

Chinese Academy of Sciences, Beijing, Fall 1999

Stevens Institute of Technology, New Jersey, Spring 1997

Selected Publications

[1] Liu, S., Perera, K.
Multiple solutions for (p,q)-Laplacian equations in R^N with critical or subcritical exponents
Calc. Var. Partial Differential Equations 63 (2024), no. 8, Paper No. 199, 15 pp.

[2] Perera, K., Sportelli, C.
A multiplicity result for critical elliptic problems involving differences of local and nonlocal operators
Topol. Methods Nonlinear Anal. 63 (2024), no. 2, 717-731.

[3] Perera, K.
Multiplicity results for elliptic problems with critical exponential growth
NoDEA Nonlinear Differential Equations Appl. 31 (2024), no. 5, Paper No. 86, 9 pp.

[4] Perera, K.
On nonminimizing solutions of elliptic free boundary problems
Calc. Var. Partial Differential Equations 63 (2024), no. 5, Paper No. 130, 32 pp.

[5] Dipierro, S., Perera, K., Sportelli, C., Valdinoci, E.
An existence theory for superposition operators of mixed order subject to jumping nonlinearities
Nonlinearity 37 (2024), no. 5, Paper No. 055018, 27 pp.

[6] Molica Bisci, G., Perera, K., Servadei, R., Sportelli, C.
Nonlocal critical growth elliptic problems with jumping nonlinearities
J. Math. Pures Appl. (9) 183 (2024), 170-196.

[7] Perera, K.
A general perturbation theorem with applications to nonhomogeneous critical growth elliptic problems
J. Differential Equations 389 (2024), 150-189.

[8] El Manouni, S., Perera, K., Winkert, P.
(p,q)-Laplacian problems with parameters in bounded and unbounded domains
Houston J. Math. 49 (2023), no. 4, 921-937.

[9] Bhakta, M., Perera, K., Sk, F.
A system of equations involving the fractional p-Laplacian and doubly critical nonlinearities
Adv. Nonlinear Stud. 23 (2023), no. 1, pp. 20230103.

[10] Amoroso, E., Bonanno, G., Perera, K.
Nonlinear elliptic p-Laplacian equations in the whole space
Nonlinear Anal. 236 (2023) 113364.

[11] Ho, K., Perera, K., Sim, I.
On the Brezis-Nirenberg problem for the (p,q)-Laplacian
Ann. Mat. Pura Appl. (4) 202 (2023), no. 4, 1991-2005.

[12] Hasani, E., Perera, K.
On the critical p-Kirchhoff equation
Topol. Methods Nonlinear Anal. 61 (2023), no. 1, 383-391.

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

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

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

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

[17] 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.

[18] 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.

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

Recognition & Awards

I have been listed among the top 2% scientists globally by Stanford University in the latest rankings data.

Research

Variational methods for nonlinear partial differential equations