Nonuniform Nonresonance of Semilinear Differential Equations

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Certain classes of potentials for p ‐Laplacian to be non‐degenerate (2005, background): “The classes of potentials constructed in Sections 2 and 3 have applications in many problems, such as the solvability of boundary value problems of nonlinear equations [1, 3, 12, 13, 14, 15, 16].”
The Rotation Number Approach to Eigenvalues of the One‐Dimensional p‐Laplacian with Periodic Potentials (2001, background): “The Dirichlet eigenvalues of the p-Laplacian with weights are studied in [24].”
Global bifurcation phenomena for singular one-dimensional p-Laplacian (2006, background): “Combining results of [15,16], we have the following property for the eigenvalues of (Epλ ) + (D).”
A Lyapunov-type stability criterion using ^{} norms (2002, background): “See also [11] for some generalizations.”