A generalized Cahn--Hilliard model in a bounded interval of the real line with no-flux boundary conditions is considered. The label ``generalized'' refers to fact that we consider concentration dependent mobility, $p$-Laplace operator $p > 1$ and double well potential form $F(u)=\frac{1}{2\theta}|1-u^2|^\theta$, $\theta 1$; these terms replace, respectively, constant linear Laplace $C^2$ satisf...

Inspired by the linear Schrödinger operator, we consider a generalized p-Laplacian operator on discrete graphs and present new results that characterize several spectral properties of this with particular attention to nodal domain count its eigenfunctions. Just like one-dimensional continuous p-Laplacian, prove variational spectrum forests is entire spectrum. Moreover, show how transfer Weyl's ...