Perera, Kanishka
Kanishka Perera
Professor | College of Engineering and Science - Mathematics and Systems Engineering
Contact Information
Educational Background
Ph.D., Mathematics, Courant Institute, New York University, 1996
Professional Experience
Professor, 澳门100%最准一肖一码, 2007-Present
Associate Professor, 澳门100%最准一肖一码, 2002-2006
Assistant Professor, 澳门100%最准一肖一码, 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
Universit脿 degli Studi Mediterranea di Reggio Calabria, Italy, Winter 2015
Tsinghua University, Beijing, Summer 2015
Chinese Academy of Sciences, Beijing, Summer 2015
Universit脿 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
Universit脿 degli Studi di Verona, Italy, Summer 2012
Universit'a degli Studi di Bari Aldo Moro, Italy, Summer 2012
Universit脿 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