22 citations · 110 across the 59 of their papers we have counts for
3 papers · 2 filters
On critical -Laplacian systems
Zhenyu Guo, Kanishka Perera, Wenming Zou
We consider the critical -Laplacian system \begin{equation}\label{92} \begin{cases}-Δ_p u-\frac{λa}{p}|u|^{a-2}u|v|^b =μ_1|u|^{p^\ast-2}u+\frac{αγ}{p^\ast}|u|^{α-2}u|v|^β, &x\in…
The Brezis-Nirenberg problem for the fractional -Laplacian
Sunra Mosconi, Kanishka Perera, Marco Squassina +1
We obtain nontrivial solutions to the Brezis-Nirenberg problem for the fractional -Laplacian operator, extending some results in the literature for the fractional Laplacian. The…
Critical fractional -Laplacian problems with possibly vanishing potentials
Kanishka Perera, Marco Squassina, Yang Yang
We obtain nontrivial solutions of a critical fractional -Laplacian equation in the whole space and with possibly vanishing potentials. In addition to the usual difficulty of the…