2 citations · 3 across the 3 of their papers we have counts for
3 papers
math.AP2014★ 1 cited
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.…
math.AP2014
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…
math.AP2014★ 2 cited
Existence and nondegeneracy of ground states in critical free boundary problems
Yang Yang, Kanishka Perera
Existence and regularity of minimizers in elliptic free boundary problems have been extensively studied in the literature. The corresponding study of higher critical points was rec…