P. Amster, A. Jüngel, D. Matthes:
"Non-homogeneous boundary conditions for a fourth-order diffusion equation";
Comptes Rendus Académie des Sciences Paris, Série I, 346 (2008), S. 143 - 148.

Kurzfassung deutsch:
Siehe englisches Abstract.

Kurzfassung englisch:
The existence of classical solutions to a one-dimensional non-linear fourth-order elliptic equation arising in quantum semiconductor
modeling is proved for a class of non-homogeneous boundary conditions using degree theory. Furthermore, some non-existence results for other classes of boundary conditions are presented.

Fourth-order elliptic equation, existence of solutions, non-existence of solutions

Erstellt aus der Publikationsdatenbank der Technischen Universitšt Wien.