22 citations · 110 across the 59 of their papers we have counts for
8 papers · 1 filter
A class of semipositone -Laplacian problems with a critical growth reaction term
Kanishka Perera, Ratnasingham Shivaji, Inbo Sim
We prove the existence of ground state positive solutions for a class of semipositone -Laplacian problems with a critical growth reaction term. The proofs are established by obt…
Higher critical points in a free boundary problem
David Jerison, Kanishka Perera
We study higher critical points of the variational functional associated with a free boundary problem related to plasma confinement. Existence and regularity of minimizers in ellip…
-Laplacian problems involving critical Hardy-Sobolev exponents
Kanishka Perera, Wenming Zou
We prove existence, multiplicity, and bifurcation results for -Laplacian problems involving critical Hardy-Sobolev exponents. Our results are mainly for the case and…
Multiplicity results for critical -Laplacian problems
Giuseppina Barletta, Pasquale Candito, Salvatore A. Marano +1
We prove the existence of distinct pairs of nontrivial solutions for critical -Laplacian problems in , as well as in bounded domains. To overcome the difficul…
Existence results for double-phase problems via Morse theory
Kanishka Perera, Marco Squassina
We obtain nontrivial solutions for a class of double-phase problems using Morse theory. In the absence of a direct sum decomposition, we use a cohomological local splitting to get…
Ground and bound state solutions for a Schrödinger system with linear and nonlinear couplings in
Kanishka Perera, Cyril Tintarev, Jun Wang +1
We study the existence of ground and bound state solutions for a system of coupled Schrödinger equations with linear and nonlinear couplings in . By studying the limi…