NONTRIVIAL SOLUTIONS FOR A FRACTIONAL SCHRODINGER EQUATION VIA CRITICAL POINT THEORY

TitleNONTRIVIAL SOLUTIONS FOR A FRACTIONAL SCHRODINGER EQUATION VIA CRITICAL POINT THEORY
Publication TypeJournal Article
Year of Publication2016
AuthorsXU, JIAFA, DONG, WEI, O’REGAN, DONAL
Secondary TitleCommunications in Applied Analysis
Volume20
Issue2
Start Page253
Pagination10
Date Published06/2016
Type of Workscientific: mathematics
ISSN1083-2564
AMS35A15, 35R11
Abstract

In this paper we discuss a time-independent fractional Schr¨odinger equation (−∆)su + V (x)u = f(x, u) + g(x) in R N , where N ≥ 2, s ∈ (0, 1) and (−∆)s stands for the fractional Laplacian. Using the Mountain Pass Theorem, we establish two existence theorems to ensure that the above problem has at least one nontrivial solution.
URLhttp://www.acadsol.eu/en/articles/20/2/6.pdf
DOI10.12732/caa.v20i2.6
Short TitleSOLUTIONS FOR A FRACTIONAL SCHRODINGER EQUATION
Refereed DesignationRefereed
Full Text

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