Global uniqueness results for ground states for a class of quasilinear elliptic equations

Shinji Adachi; Masataka Shibata; Tatsuya Watanabe

doi:10.2996/kmj/1490083227

Kodai Mathematical Journal

Online ISSN : 1881-5472
Print ISSN : 0386-5991
ISSN-L : 0386-5991

Global uniqueness results for ground states for a class of quasilinear elliptic equations

Shinji Adachi, Masataka Shibata, Tatsuya Watanabe

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Keywords: Quasilinear elliptic equation, uniqueness of positive radial solution, non-degeneracy, shooting method

JOURNAL FREE ACCESS

2017 Volume 40 Issue 1 Pages 117-142

DOI https://doi.org/10.2996/kmj/1490083227

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Abstract

In this paper, we are concerned with the uniqueness of ground states for a class of quasilinear elliptic equations which arise in the study of plasma physics. We obtain global uniqueness results in the sense that we don't require any assumptions on the parameter.

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