Qualitative Behavior of Axial-Symmetric Solutions of Elliptic Free Boundary Problems
Date
1997-01-08
Authors
Acker, Andrew F.
Lancaster, Kirk
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
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.
Description
Keywords
p-Laplacian, Radial solutions, Boundary value problems
Citation
Acker, A. F., & Lancaster, K. E. (1997). Qualitative behavior of axial-symmetric solutions of elliptic free boundary problems. <i>Electronic Journal of Differential Equations, 1997</i>(02), pp. 1-24.