| F. Bernis, Viscous flow, fourth order nonlinear degenerate equations and singular elliptic problems, in: Free boundary problems: theory and applications (J. I. Diaz, M. A. Herrero, A. Linan, J. L. Vazques, eds.), Pitman Research Notes in Mathematics 323, Longman, Harlow (1995), 40 -- 56. |
.... : 9) Existence and qualitative properties of weak solutions for the evolution problem given by (6) and (9) have been established by Bernis Friedman, by Grun, by Beretta, Bertsch Dal Passo, by Elliot Garcke, by Bertozzi Pugh, and others [7, 20, 4, 14, 8] The reader will find a survey in [5]. To us, it seems that the non zero contact angle case is qualitatively different and analytically harder to handle. Let us explain why. The relevant energy for the zero contact angle case is E(s) Z js 0 j 2 : 10) The functional (10) is a convex, whereas (5) is not. This has major ....
F. Bernis, Viscous flow, fourth order nonlinear degenerate equations and singular elliptic problems, in: Free boundary problems: theory and applications (J. I. Diaz, M. A. Herrero, A. Linan, J. L. Vazques, eds.), Pitman Research Notes in Mathematics 323, Longman, Harlow (1995), 40 -- 56.
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