Electronic Journal of Differential Equations,
Vol. 1997(1997), No. 02, pp 1--24.

Title: Qualitative behavior of axial-symmetric solutions
       of elliptic free boundary problems

Authors: Andrew F. Acker (Wichita State Univ., Wichita, Kansas, USA) 
  Kirk E. Lancaster (Wichita State Univ., Wichita, Kansas, USA)

Abstract: A general free boundary problem in  R^3  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 R^2.

Submitted September 22, 1996. Published January 8, 1997.
Math Subject Classification: 34B15, 35J15, 35J85.
Key Words: p-Laplacian; radial solutions; boundary value problems.