Andrew F. Acker & Kirk E. Lancaster
Abstract:
A general free boundary problem in R3
is investigated for
axial-symmetric solutions and qualitative geometric properties of the
free boundary are compared to those of the fixed boundary for the axial
and radial directions.
Counterexamples obtained previously by the first author show that our
results cannot hold in the same generality as those for similar free
boundary problems in R2.
Submitted September 22, 1996. Published January 8, 1997.
Math Subject Classification: 34B15, 35J15, 35J85.
Key Words: p-Laplacian, radial solutions, boundary value problems.
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