Global Bifurcation Result for the p-biharmonic Operator

By Pavel Drábek, M. Otani. 2001

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On the existence of stationary solutions for higher-order p-Kirchhoff problems (2014, unknown): “In the scalar case ∆(2)p is exactly the well–known p–biharmonic operator ∆(2)pψ = ∆(|∆ψ|p−2∆ψ) for all ψ ∈ C∞ 0 (Ω) defined in the pioneering paper [9] by Kratochvl and Necăs; see also [10] by Drábek and Ôtani.”
Multiplicity of solutions for p ( x ) -polyharmonic elliptic Kirchhoff equations (2011, background): “To study the physical phenomena, Kratochvíl and Necăs first introduced the p-biharmonic operator in [1]; see also [2–5] and the references therein.”