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We re-examine a generalized singular equation to discuss the coarsening of growing interfaces, in the presence of Ehrlich-Schwoebel-Villain barrier that induces a pyramidal or mound-type structure without slope selection. Our aim is to obtain analytically results on the coarsening process by inspecting the behavior of branch of the steady state periodic solutions.

The aim of this work is to study a quasilinear elliptic equation with singular nonlinearity and data measure. Existence and non-existence results are obtained under necessary or sufficient conditions on the data, where the main ingredient is the isoperimetric inequality. Finally, uniqueness results for weak solutions are given.

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