22 citations · 110 across the 59 of their papers we have counts for
11 papers · 2 filters
Existence and regularity of higher critical points for elliptic free boundary problems
David Jerison, Kanishka Perera
Existence and regularity of minimizers in elliptic free boundary problems have been extensively studied in the literature. We initiate the corresponding study of higher critical po…
-Laplacian problems with critical Trudinger-Moser nonlinearities
Yang Yang, Kanishka Perera
We obtain nontrivial solutions of a -Laplacian problem with a critical Trudinger-Moser nonlinearity in a bounded domain. In addition to the usual difficulty of the loss of c…
A note on the Dancer-Fucik spectra of the fractional p-Laplacian and Laplacian operators
Kanishka Perera, Marco Squassina, Yang Yang
We study the Dancer-Fucik spectrum of the fractional p-Laplacian operator. We construct an unbounded sequence of decreasing curves in the spectrum using a suitable minimax scheme.…
On a class of critical -Laplacian problems
Pasquale Candito, Salvatore A. Marano, Kanishka Perera
We obtain nontrivial solutions of a critical -Laplacian problem in a bounded domain. In addition to the usual difficulty of the loss of compactness associated with problems…
Bifurcation and multiplicity results for critical p-Laplacian problems
Kanishka Perera, Marco Squassina, Yang Yang
We prove a bifurcation and multiplicity result that is independent of the dimension N for a critical p-Laplacian problem that is the analog of the Brezis-Nirenberg problem for the…
Bifurcation and multiplicity results for critical fractional p-Laplacian problems
Kanishka Perera, Marco Squassina, Yang Yang
In this paper we investivate bifurcation results for a class of problem in a smooth bounded domain involving the fractional p-Laplacian operator and with a nonlinearity that reache…