The Kirchhoff equation for the p-Laplacian

By M. Dreher. 2006

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On a fractional degenerate Kirchhoff-type problem (2017, methodology): “We cite, amid the wide literature on the subject, the works [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 16, 18, 20] where Kirchhoff-type problems (also in their stationary versions) were studied by exploiting different methods and new technical approaches.”
Global Nonexistence for Nonlinear Kirchhoff Systems (2010, background): “In recent years, the study of p-Kirchhoff equations involving the quasilinear homogeneous p-Laplace operator, based on the theory of standard Sobolev spaces W 1,p 0 ( ), has been widely studied, see, for example, [6,25], while for wave equations [7], and for the elliptic case [5,8].”