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VOL. 47.2 | 2007 Perturbation of structures of radial solutions to elliptic equations
Yoshitsugu Kabeya

Editor(s) Hideo Kozono, Takayoshi Ogawa, Kazunaga Tanaka, Yoshio Tsutsumi, Eiji Yanagida

Abstract

The change of structures of radial solutions to elliptic equations is discussed. Especially, by some perturbation on a "potential function", the non-existence of rapidly decaying solutions fails and the existence of that one is ensured. Also, in another case, the uniqueness of rapidly decaying solutions breaks and multiple rapidly decaying ones appear. Some insights to the number of solutions are also presented.

Information

Published: 1 January 2007
First available in Project Euclid: 16 December 2018

zbMATH: 1154.34022
MathSciNet: MR2387257

Digital Object Identifier: 10.2969/aspm/04720589

Rights: Copyright © 2007 Mathematical Society of Japan

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