Asymptotic Properties of Ground States of Quasilinear Schrödinger Equations With H1-Subcritical Exponent

Author:

Adachi Shinji1,Watanabe Tatsuya2

Affiliation:

1. Division of Basic Engineering, Faculty of Engineering Shizuoka University, 3-5-1 Johoku, Naka-ku, Hamamatsu, 432-8561, Japan

2. Department of Mathematics, Faculty of Science Kyoto Sangyo University, Motoyama, Kamigamo, Kita-ku, Kyoto, 603-8555, Japan

Abstract

Abstract We are concerned with the asymptotic behavior of positive radial solutions for a class of quasilinear elliptic equation arising from plasma physics. By the variational argument and dual approach, we show the asymptotic uniqueness and non-degeneracy of the ground state.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics,Statistical and Nonlinear Physics

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