NONLINEAR SCHRÖDINGER EQUATIONS WITH UNBOUNDED AND DECAYING RADIAL POTENTIALS-Reference-Cited by-同舟云学术

NONLINEAR SCHRÖDINGER EQUATIONS WITH UNBOUNDED AND DECAYING RADIAL POTENTIALS

Published:2007-08 Issue:04 Volume:09 Page:571-583
ISSN:0219-1997
Container-title:Communications in Contemporary Mathematics
language:en
Short-container-title:Commun. Contemp. Math.

Author:

SU JIABAO¹²,WANG ZHI-QIANG³⁴,WILLEM MICHEL⁵

Affiliation:

1. School of Mathematical Sciences, Capital Normal University, Beijing 100037, P. R. China

2. Institute of Mathematics and Interdisciplinary Science, Capital Normal University, Beijing 100037, P. R. China

3. School of Mathematics and Computer Sciences, Fujian Normal University, Fuzhou 350007, P. R. China

4. Department of Mathematics and Statistics, Utah State University, Logan, Utah 84322, USA

5. Institut de Mathématique, Université Catholique de Louvain, 1348 Louvain-la-Neuve, Belgium

Abstract

We establish some embedding results of weighted Sobolev spaces of radially symmetric functions. The results are then used to obtain ground state solutions of nonlinear Schrödinger equations with unbounded and decaying radial potentials. Our work unifies and generalizes many existing partial results in the literature.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021919970700254X

Reference32 articles.

1. Singularly Perturbed Elliptic Equations with Symmetry: Existence of Solutions Concentrating on Spheres, Part I

2. Bound states of nonlinear Schrödinger equations with potentials vanishing at infinity

3. Radial solutions concentrating on spheres of nonlinear Schrödinger equations with vanishing potentials

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