Displaying similar documents to “A free boundary problem for the p -Laplacian: uniqueness, convexity, and successive approximation of solutions.”

Qualitative properties of the free-boundary of the Reynolds equation in lubrication.

S. J. Alvarez (1989)

Publicacions Matemàtiques


The hydrodynamic lubrication of a cylindrical bearing is governed by the Reynolds equation that must be satisfied by the pressure of lubricating oil. When cavitation occurrs we are carried to an elliptic free-boundary problem where the free-boundary separates the lubricated region from the cavited region. Some qualitative properties are obtained about the shape of the free-boundary as well as the localization of the cavited region.

Free boundary regularity in Stefan type problems

Ioannis Athanasopoulos (2004)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni


Regularity results of free boundaries for Stefan type problems are discussed. The influence that curvature may have on the behavior of the free boundary is studied and various open problems are also mentioned.