A free boundary problem for the <i>p</i>-Laplacian: uniqueness, convexity, and successive approximation of solutions

classical solution of a Bernoulli-type free boundary problem for the $p$-Laplace equation, $ 1 < p < infty $. In addition, we prove the existence of a classical solution in $N$ dimensions when $p = 2$ and, for $ 1 < p < infty $, results on uniqueness and starlikeness of the free boundary...

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Bibliographic Details
Main Authors: A. Acker, R. Meyer
Format: Article
Language:English
Published: Texas State University 1995-06-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/1995/08/abstr.html