Open Access
October, 2007 Inégalités de Harnack et phénomène de concentration
Samy Skander BAHOURA
J. Math. Soc. Japan 59(4): 1011-1030 (October, 2007). DOI: 10.2969/jmsj/05941011

Abstract

We give some results about the product sup u × inf u for some elliptic operators of order 2 and 4. If we use those inequalities and the concentration phenomena, we can describe the asymptotic behavior of some nonlinear PDE of Yamabe type.

Citation

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Samy Skander BAHOURA. "Inégalités de Harnack et phénomène de concentration." J. Math. Soc. Japan 59 (4) 1011 - 1030, October, 2007. https://doi.org/10.2969/jmsj/05941011

Information

Published: October, 2007
First available in Project Euclid: 10 December 2007

zbMATH: 1142.35027
MathSciNet: MR2370003
Digital Object Identifier: 10.2969/jmsj/05941011

Subjects:
Primary: 35J60
Secondary: 35B45

Keywords: $\sup \times \inf$ , asymptotic behavior , concentration point , laplacian and bilaplacian

Rights: Copyright © 2007 Mathematical Society of Japan

Vol.59 • No. 4 • October, 2007
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