The existence results for weak solutions from Chapter 4 are generalized to a broader class of coupled PDE systems in this chapter. More specifically, we will be able to treat
multi-component Cahn-Hilliard systems,
inhomogeneous elastic energy densities,
chemical potentials of polynomial or logarithmic type,
quadratic gradient term of the damage variable in the energy, i.e.,
= 2 in (1.3).
Additionally, we show that the results also apply to elastic Allen-Cahn systems coupled with damage processes. This case is even easier to treat.