22 citations · 110 across the 59 of their papers we have counts for
5 papers · 1 filter
A system of equations involving the fractional -Laplacian and doubly critical nonlinearities
Mousomi Bhakta, Kanishka Perera, Firoj Sk
This paper deals with existence of solutions to the following fractional -Laplacian system of equations \begin{equation*} %\tag{}\label{MAT1} \begin{cases} (-Δ_p)^s…
A multiplicity result for critical elliptic problems involving differences of local and nonlocal operators
Kanishka Perera, Caterina Sportelli
We study some critical elliptic problems involving the difference of two nonlocal operators, or the difference of a local operator and a nonlocal operator. The main result is the e…
A general perturbation theorem with applications to nonhomogeneous critical growth elliptic problems
Kanishka Perera
We prove a general perturbation theorem that can be used to obtain pairs of nontrivial solutions of a wide range of local and nonlocal nonhomogeneous elliptic problems. Application…
On the Brezis-Nirenberg problem for the -Laplacian
Ky Ho, Kanishka Perera, Inbo Sim
We prove some existence and nonexistence results for a class of critical -Laplacian problems in a bounded domain. Our results extend and complement those in the literature f…
New linking theorems with applications to critical growth elliptic problems with jumping nonlinearities
Kanishka Perera, Caterina Sportelli
We study critical growth elliptic problems with jumping nonlinearities. Standard linking arguments based on decompositions of into eigenspaces of cannot be used to…