arXiv:1602.07086 Abstract | arXiv Analytics

arXiv:1602.07086 [math.AP]Abstract References Reviews Resources

A note on the uniqueness and the non-degeneracy of positive radial solutions for semilinear elliptic problems and its application

Shinji Adachi, Masataka Shibata, Tatsuya Watanabe

Published 2016-02-23Version 1

In this paper, we are concerned with the uniqueness and the non-degeneracy of positive radial solutions for a class of semilinear elliptic equations. Using detailed ODE analysis, we extend previous results to cases where nonlinear terms may have sublinear growth. As an application, we obtain the uniqueness and the non-degeneracy of ground states for modified Schr\"odinger equations.

Categories: math.AP

Subjects: 35J61, 35A02, 35B05

Keywords: positive radial solutions, semilinear elliptic problems, uniqueness, non-degeneracy, application

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