Asymptotically linear fractional Schrödinger equations

Asymptotically linear fractional Schrödinger equations

By exploiting a variational technique based upon projecting over the Pohožaev manifold, we prove existence of positive solutions for a class of nonlinear fractional Schrödinger equations having a nonhomogenous nonautonomous asymptotically linear nonlinearity.

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Bibliographic Details
Published in:Complex variables and elliptic equations Vol. 60; no. 4; pp. 529 - 558
Main Authors: Lehrer, Raquel, Maia, Liliane A., Squassina, Marco
Format: Journal Article
Language:English
Published: Colchester Taylor & Francis 03-04-2015
Taylor & Francis Ltd
Subjects:
Asymptotic properties
Complex variables
critical point theory
fractional Laplacian
ground states
Manifolds
Mathematical analysis
Nonlinearity
Pohožaev identity
Schroedinger equation
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Description
Summary:By exploiting a variational technique based upon projecting over the Pohožaev manifold, we prove existence of positive solutions for a class of nonlinear fractional Schrödinger equations having a nonhomogenous nonautonomous asymptotically linear nonlinearity.
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ISSN:1747-6933
1747-6941
DOI:10.1080/17476933.2014.948434