The Wave Equation for the p-Laplacian

By M. Dreher. 2007

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The Kirchhoff equation for the p-Laplacian (2006, background): “spaces, wherep need not be an even integer.”
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].”
Three solutions for a nonlocal Dirichlet boundary value problem involving the p(x)-Laplacian (2013, methodology): “The study of Kirchhoff type equations has already been extended to the case involving the p -Laplacian (for details, see 27–29 ); however, as far as we are concerned, there are a few papers which deal with p ( x )-Kirchhoff type equations via variational approach; for example, in 30 , using var”
Wave Equation with p(x,t) - Laplacian and Damping Term: Existence and Blow-up (2011, unknown): “,[18, 19, 20, 21, 23, 24, 25, 26, 28, 29, 30, 31, 33, 37, 40, 41, 42, 43, 44, 45, 46, 47] and the further references therein.”