22 citations · 110 across the 59 of their papers we have counts for
5 papers · 2 filters
An existence theory for nonlinear superposition operators of mixed fractional order
Serena Dipierro, Kanishka Perera, Caterina Sportelli +1
We establish the existence of multiple solutions for a nonlinear problem of critical type. The problem considered is fractional in nature, since it is obtained by the superposition…
An existence theory for superposition operators of mixed order subject to jumping nonlinearities
Serena Dipierro, Kanishka Perera, Caterina Sportelli +1
We consider a superposition operator of the form for a signed measure on the interval of fractional exponents , joined to a nonlinea…
Nonlocal critical growth elliptic problems with jumping nonlinearities
Giovanni Molica Bisci, Kanishka Perera, Raffaella Servadei +1
In this paper we study a nonlocal critical growth elliptic problem driven by the fractional Laplacian in presence of jumping nonlinearities. In the main results of the paper we pro…
Abstract multiplicity theorems and applications to critical growth problems
Kanishka Perera
We prove some abstract multiplicity theorems that can be used to obtain multiple nontrivial solutions of critical growth -Laplacian and -Laplacian type problems. We show…
Critical growth double phase problems: the local case and a Kirchhoff type case
Francesca Colasuonno, Kanishka Perera
We study Brezis-Nirenberg type problems, governed by the double phase operator , that i…