22 citations · 110 across the 59 of their papers we have counts for
5 papers · 1 filter
On a class of critical -Laplacian problems
Tsz Chung Ho, Kanishka Perera
We establish some existence results for a class of critical -Laplacian problems in a bounded domain in . In the absence of a suitable direct sum decomposition, we…
On the critical -Kirchhoff equation
Erisa Hasani, Kanishka Perera
We study a nonlocal elliptic equation of -Kirchhoff type involving the critical Sobolev exponent. First we give sufficient conditions for the (PS) condition to hold. Then we pro…
On the existence of ground state solutions to critical growth problems nonresonant at zero
Kanishka Perera
We prove the existence of ground state solutions to critical growth -Laplacian and fractional -Laplacian problems that are nonresonant at zero.
New multiplicity results for critical -Laplacian problems
Carlo Mercuri, Kanishka Perera
We prove new multiplicity results for the Brezis-Nirenberg problem for the -Laplacian. Our proofs are based on a new abstract critical point theorem involving the ${\mathbb Z}_2…
An abstract critical point theorem with applications to elliptic problems with combined nonlinearities
Kanishka Perera
We prove an abstract critical point theorem based on a cohomological index theory that produces pairs of nontrivial critical points with nontrivial higher critical groups. This the…