Radial symmetry of large solutions
of nonlinear elliptic equations
Author:
Steven D. Taliaferro
Journal:
Proc. Amer. Math. Soc. 124 (1996), 447-455
MSC (1991):
Primary 35J60
DOI:
https://doi.org/10.1090/S0002-9939-96-03372-2
MathSciNet review:
1327049
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Abstract | References | Similar Articles | Additional Information
Abstract: We give conditions under which all solutions of the problem
are radial. We assume is positive when
and
are both large and positive. Since this problem with
has non-radial solutions, we rule out this possibility by requiring that
grow superlinearly in
when
and
are both large and positive. However we make no assumptions on the rate of growth of solutions.
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Additional Information
Steven D. Taliaferro
Affiliation:
Mathematics Department, Texas A&M University, College Station, Texas 77843
Email:
stalia@math.tamu.edu
DOI:
https://doi.org/10.1090/S0002-9939-96-03372-2
Received by editor(s):
July 22, 1994
Communicated by:
Jeffrey Rauch
Article copyright:
© Copyright 1996
American Mathematical Society