The authors state sufficient conditions for sequential weak lower semicontinuity and the Palais-Smale property of the energy functional for a critical Kirchhoff problem.
Lindqvist , On the equation div(|∇ u|p− 2∇ u) + λ|u|p− 2u = 0, Proc
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On a critical Kirchhoff-type problem
The authors state sufficient conditions for sequential weak lower semicontinuity and the Palais-Smale property of the energy functional for a critical Kirchhoff problem.