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July/August 2015 Local asymptotic nondegeneracy for multi-bubble solutions to the biharmonic Liouville-Gel'fand problem in dimension four
Hiroshi Ohtsuka, Futoshi Takahashi
Differential Integral Equations 28(7/8): 801-822 (July/August 2015).

Abstract

We consider the biharmonic Liouville-Gel'fand problem under the Navier boundary condition in four space dimension. Under the nondegeneracy assumption of blow up points of multiple blowing-up solutions, we prove several estimates for the linearized equations and obtain some convergence result. The result can be seen as a weaker version of the asymptotic nondegeneracy of multi-bubble solutions, which was recently established by Grossi-Ohtsuka-Suzuki in two-dimensional Laplacian case.

Citation

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Hiroshi Ohtsuka. Futoshi Takahashi. "Local asymptotic nondegeneracy for multi-bubble solutions to the biharmonic Liouville-Gel'fand problem in dimension four." Differential Integral Equations 28 (7/8) 801 - 822, July/August 2015.

Information

Published: July/August 2015
First available in Project Euclid: 11 May 2015

zbMATH: 1363.35104
MathSciNet: MR3345334

Subjects:
Primary: 35B40 , 35J30 , 35J35

Rights: Copyright © 2015 Khayyam Publishing, Inc.

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Vol.28 • No. 7/8 • July/August 2015
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