Multiple solutions for a class of Kirchhoff type problems with concave nonlinearity

By Bitao Cheng, Xian Wu, Jun Liu. Nonlinear Differential Equations and Applications NoDEA, 2011

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Study of a nonlinear Kirchhoff equation with non-homogeneous material (2014, methodology): “In [8] the Mountain Pass Theorem and the Ekeland’s Principle were used to show the existence of multiple non-trivial solutions of (1.”
Existence of a nodal solution with minimal energy for a Kirchhoff equation (2015, background): “Therefore, the study on this class of problems has increased considerably in the last ten years, as can be seen in [1], [2], [6], [10], [12]–[17], [19], [20]–[22], [26]–[29] and references therein.”