Multi-peak positive solutions for nonlinear Schrödinger equations with critical frequency-Reference-Cited by-同舟云学术

Multi-peak positive solutions for nonlinear Schrödinger equations with critical frequency

Published:2007-01-10 Issue:3 Volume:29 Page:365-395
ISSN:0944-2669
Container-title:Calculus of Variations and Partial Differential Equations
language:en
Short-container-title:Calc. Var.

Author:

Sato Yohei

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Analysis

Link

http://link.springer.com/content/pdf/10.1007/s00526-006-0070-9.pdf

Reference16 articles.

1. Ambrosetti A., Felli V. and Malchiodi A. (2005). Ground states of nonlinear Schrödinger equations with potentials vanishing at infinity. J. Eur. Math. Soc. 7(1): 117–144

2. Ambrosetti A. and Wang Z.-Q. (2005). Nonlinear Schrödinger equations with vanishing and decaying potentials. Differential Integral Equations 18(12): 1321–1332

3. Byeon J. (1997). Existence of large positive solutions of some nonlinear elliptic equations on singularly perturbed domains. Comm. Partial Differential Equations 22: 1731–1769

4. Byeon J. and Oshita Y. (2004). Existence of multi-bump standing waves with a critical frequency for nonlinear Schrödinger equations. Comm. Partial Differential Equations 29(11–12): 1877–1904

5. Byeon J. and Wang Z.-Q. (2002). Standing waves with a critical frequency for nonlinear Schrödinger equations. Arch. Rat. Mech. Anal. 165: 295–316

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