Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian 论文

2012Proceedings of the Royal Society of Edinburgh Section A Mathematics引用 668
Nonlinear Partial Differential EquationsAdvanced Mathematical Physics ProblemsAdvanced Mathematical Modeling in Engineering

详细信息

发表期刊/会议
Proceedings of the Royal Society of Edinburgh Section A Mathematics
发表日期
2012-11-27
发表年份
2012

关键词

Nonlinear Partial Differential EquationsAdvanced Mathematical Physics ProblemsAdvanced Mathematical Modeling in Engineering

摘要

We study the existence of positive solutions for the nonlinear Schrödinger equation with the fractional Laplacian Furthermore, we analyse the regularity, decay and symmetry properties of these solutions.