Asymptotically linear fractional Schrodinger equations

Raquel Lehrer; Liliane A. Maia; Marco Squassina

doi:10.1080/17476933.2014.948434

Asymptotically linear fractional Schrodinger equations

Raquel Lehrer
, Liliane A. Maia
, Marco Squassina

Universidade Estadual do Oeste do Paraná
Universidade de Brasília

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

Abstract

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

Original language	English
Pages (from-to)	529-558
Number of pages	30
Journal	Complex Variables and Elliptic Equations
Volume	60
DOIs	https://doi.org/10.1080/17476933.2014.948434
Publication status	Published - 2015

Keywords

Asymptotically linear problems

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10.1080/17476933.2014.948434

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title = "Asymptotically linear fractional Schrodinger equations",

abstract = "By exploiting a variational technique based upon projecting over the Poho{\v z}aev manifold, we prove existence of positive solutions for a class of nonlinear fractional Schr{\"o}dinger equations having a nonhomogenous nonautonomous asymptotically linear nonlinearity",

keywords = "Asymptotically linear problems, Asymptotically linear problems",

author = "Raquel Lehrer and Maia, \{Liliane A.\} and Marco Squassina",

year = "2015",

doi = "10.1080/17476933.2014.948434",

language = "English",

volume = "60",

pages = "529--558",

journal = "Complex Variables and Elliptic Equations",

issn = "1747-6933",

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T1 - Asymptotically linear fractional Schrodinger equations

AU - Lehrer, Raquel

AU - Maia, Liliane A.

AU - Squassina, Marco

PY - 2015

Y1 - 2015

N2 - 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

AB - 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

KW - Asymptotically linear problems

UR - http://hdl.handle.net/10807/87529

U2 - 10.1080/17476933.2014.948434

DO - 10.1080/17476933.2014.948434

M3 - Article

SN - 1747-6933

VL - 60

SP - 529

EP - 558

JO - Complex Variables and Elliptic Equations

JF - Complex Variables and Elliptic Equations

ER -

Asymptotically linear fractional Schrodinger equations

Abstract

Keywords

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