Multiple positive solutions of a one-dimensional prescribed mean curvature problem

By P. Habets, Pierpaolo Omari. 2007

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Uniqueness (2021, unknown): “A model nonlinearity in this section is g ( x, u ) = λu p − 1 with p ∈ (1 , 2), λ > 0; however, in this case it is known [44, 54] that there are multiple nonnegative solutions of (5.1).”
Multiple positive radial solutions for a Dirichlet problem involving the mean curvature operator in Minkowski space (2013, background): “In dimension one for R = 1, in [14] it is given a complete description of the exact number of positive solutions of (2).”
Positive solutions of the Dirichlet problem for the prescribed mean curvature equation in Minkowski space (2013, unknown): “The one-dimensional problem has been rather thoroughly discussed in a series of recent papers by Bonheure, Habets, Obersnel and Omari [23, 5, 36, 6], Bereanu and Mawhin [4] and Pan [40].”
Positive solutions of the Dirichlet problem for the prescribed mean curvature equation (2010, background): “The one-dimensional problem has been rather thoroughly discussed in a series of recent papers by Bonheure, Habets, Obersnel and Omari [23, 5, 36, 6], Bereanu and Mawhin [4] and Pan [40].”