Vol. 189, No. 1, 1999

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Yūki Naito & Takashi Suzuki

Abstract

We treat the Dirichlet problem for elliptic equations on annular regions, and show the monotonicity and symmetry properties of positive solutions with respect to the sphere. We generalize the argument of the method of moving spheres to more general partial differential equations.

Authors
Yūki Naito
Kobe University
Kobe 657-8501
Japan
Takashi Suzuki
Osaka University
Toyonaka 560-0043
Japan