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2003 Non-radial solutions with orthogonal subgroup invariance for semilinear Dirichlet problems
Ryuji Kajikiya
Topol. Methods Nonlinear Anal. 21(1): 41-51 (2003).

Abstract

A semilinear elliptic equation, $-\Delta u=\lambda f(u)$, is studied in a ball with the Dirichlet boundary condition. For a closed subgroup $G$ of the orthogonal group, it is proved that the number of non-radial $G$ invariant solutions diverges to infinity as $\lambda$ tends to $\infty$ if $G$ is not transitive on the unit sphere.

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Ryuji Kajikiya. "Non-radial solutions with orthogonal subgroup invariance for semilinear Dirichlet problems." Topol. Methods Nonlinear Anal. 21 (1) 41 - 51, 2003.

Information

Published: 2003
First available in Project Euclid: 30 September 2016

zbMATH: 1046.35031
MathSciNet: MR1980135

Rights: Copyright © 2003 Juliusz P. Schauder Centre for Nonlinear Studies

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Vol.21 • No. 1 • 2003
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