A symmetry result for an elliptic problem arising from the 2-D thin film equation

It is shown that every positive, stable H^2_0-solution to \Delta u+f(u)=c in \mathbb{R}^2 is radially symmetric. This problem arises from the study of the steady states for the two dimensional thin film equation.

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Bibliographic Details
Published in:Proceedings of the American Mathematical Society 2017-02, Vol.145 (2), p.853-860
Main Authors: CHEUNG, KA-LUEN, CHOU, KAI-SENG
Format: Article
Language:English
Subjects:
C. APPLIED MATHEMATICS
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Summary:It is shown that every positive, stable H^2_0-solution to \Delta u+f(u)=c in \mathbb{R}^2 is radially symmetric. This problem arises from the study of the steady states for the two dimensional thin film equation.
ISSN:0002-9939
1088-6826
DOI:10.1090/proc/13237