Certain classes of potentials for p ‐Laplacian to be non‐degenerate

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Extremal values of smallest eigenvalues of Hill's operators with potentials in L 1 balls ✩ (2009, background): “3) Here φp(x) := |x|p−2x is the function in defining the so-called p-Laplacian [26].”
Extremal values of eigenvalues of Sturm-Liouville operators with potentials in L 1 balls (2009, background): “These zeros Rm,p have been found explicitly by Zhang [20] in the study of non-degeneracy of the p-Laplacian.”
Lyapunov inequalities and stability for linear Hamiltonian systems (2012, methodology): “For example, from Lyapunov inequalities, one can deduce an explicit characterization for the non-degeneracy of linear systems [16,20,32,34] and give sufficient conditions on maximum and anti-maximum principles for linear equations [1,35].”
Periodic Solutions of Equations of Emarkov-Pinney Type (2006, background): “It should be mentioned that some explicit conditions for which (Nk) holds have been constructed recently by the author [18].”