Boundary value problems for nonlinear perturbations of vector p-Laplacian-like operators ∗

By R. Manásevich, Jean Mawhin. 2000

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Existence and multiplicity results for some nonlinear problems with singular phi-Laplacian (2007, methodology): “We now define fixed point operators which are similar to the ones introduced in [9] and [3] for φ : R → R and φ : R → ]−a, a[, respectively.”
Solvability of Nonlinear Singular Problems for Ordinary Differential Equations (2009, methodology): “Fan [87], Fan, Wu, and Wang [88], Lü, O’Regan, and Agarwal [127], Lu [132], Manásevich and Mawhin [133, 134], Mawhin [139, 140], Mawhin and Ureña [141], O’Regan [149], Rachůnková and Tvrdý [171], Zhang [205] who consider two-point boundary conditions (Dirichlet, Neumann, mixed, and periodic).”
Periodic solutions of nonlinear perturbations of phi-Laplacians with possibly bounded phi (2008, background): “The following lemmas are taken from [12] (see also [8], [9]).”
Global bifurcation phenomena for singular one-dimensional p-Laplacian (2006, background): “One may refer to Manásevich and Mawhin [9,10] and García-Huidobro et al.”