Perera, Kanishka

Professor
Mathematical Sciences Department

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

Visiting Professor, University of Ulsan, Republic of Korea, Summer 2013

Visiting Professor, Uppsala University, Sweden, Summer 2012

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

Visiting Professor, Stockholm University, Sweden, Summer 2003

Visiting Professor, University of Sydney, Australia, Summer 2000

Visiting Professor, Chinese Academy of Sciences, Beijing, Fall 1999

Current Research

Free boundary problems, noncompact variational problems

Selected Publications

Iannizzotto, A., Liu, S., Perera, K., Squassina, M.
Existence results for fractional p-Laplacian problems via Morse theory
arXiv:1403.5388 [math.AP]

Perera, K., Tintarev, C.
A nodal solution of the scalar field equation at the second minimax level
arXiv:1402.2356 [math.AP]

Iannizzotto, A., Perera, K., Squassina, M.
Ground states for scalar field equations with anisotropic nonlocal nonlinearities
arXiv:1401.4487 [math.AP]

Perera, K.
A multiplicity result for the scalar field equation
arXiv:1311.3587 [math.AP]

Candela, A. M., Palmieri, G., Perera, K.
Multiple solutions for p-Laplacian type problems with asymptotically p-linear terms via a cohomological index theory
arXiv:1310.0679 [math.AP]

Perera, K., Squassina, M.
Asymptotic behavior of the eigenvalues of the p(x)-Laplacian
Manuscripta Math., to appear.

Perera, K., Pucci, P., Varga, C.
An existence result for a class of quasilinear elliptic eigenvalue problems in unbounded domains
NoDEA Nonlinear Differential Equations Appl., to appear.

Perera, K., Tintarev, C.
On the second minimax level of the scalar field equation and symmetry breaking
Ann. Mat. Pura Appl. (4), to appear.

Perera, K., Sim, I.
p-Laplace equations with singular weights
Nonlinear Anal. 99 (2014), 167-176.

Agarwal, R. P., Bhaskar, T. G., Perera, K.
Some results for impulsive problems via Morse theory
J. Math. Anal. Appl. 409 (2014), no. 2, 752-759.

Perera, K., Squassina, M.
On symmetry results for elliptic equations with convex nonlinearities
Commun. Pure Appl. Anal. 12 (2013), no. 6, 3013-3026.

Bhaskar, T. G., Perera, K.
On some elliptic interface problems with nonhomogeneous jump conditions
Adv. Nonlinear Anal. 2 (2013), no. 2, 195-211.

Perera, K., Schechter, M.
Morse theory applied to semilinear problems
Complex Var. Elliptic Equ. 57 (2012), no. 11, 1179-1189.

El Manouni, S., Perera, K., Shivaji, R.
On singular quasi-monotone (p,q)-Laplacian systems
Proc. Roy. Soc. Edinburgh Sect. A 142 (2012), no. 3, 585-594.

Agarwal, R. P., Perera, K., Zhang, Z. T.
On some nonlocal eigenvalue problems
Discrete Contin. Dyn. Syst. Ser. S 5 (2012), no. 4, 707-714.