Existence of solutions for the one-phase and the multi-layer free-boundary problems with the p-laplacian operator

By considering the p-laplacian operator, we show the existence of a solution to the exterior (resp interior) free boundary problem with non constant Bernoulli free boundary condition. In the second part of this article, we study the existence of solutions to the two-layer shape optimi...

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Bibliographic Details
Main Authors: Idrissa Ly, Diaraf Seck
Format: Article
Language:English
Published: Texas State University 2006-10-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2006/128/abstr.thml