Work

Ground States for the Fractional Schrodinger Equation

Year: 2013

Type: article

Abstract: In this article, we show the existence of ground state solutions for the nonlinear Schrodinger equation with fractional Laplacian $$ (-Delta )^alpha u+ V(x)u =lambda |u|^{p}uquadhbox{in $mathbb{R}^N$ for $alpha in (0,1)$}. $$ We use the concentration compactness principle in fractional Sobolev spaces $H^alpha$ for $alpha in (0,1)$. Our results generalize the corresponding results in the case $alpha =1$.

Source: Lanzhou University Institutional Repository

Authors: Feng, BH, Feng, BH (reprint author), Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China.

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4405970028

FWCI: 1.304

Cites:

Cited by: 20

Related to: 10