On fractional Choquard equations

Pietro D'Avenia; Gaetano Siciliano; Marco Squassina

doi:10.1142/S0218202515500384

On fractional Choquard equations

Pietro D'Avenia
, Gaetano Siciliano
, Marco Squassina

Polytechnic University of Bari
Universidade de São Paulo

Research output: Contribution to journal › Article

95 Citations (Scopus)

Abstract

We investigate a class of nonlinear Schrodinger equations with a generalized Choquard nonlinearity and fractional diffusion. We obtain regularity, existence, nonexistence, symmetry as well as decays properties

Original language	English
Pages (from-to)	1447-1476
Number of pages	30
Journal	Mathematical Models and Methods in Applied Sciences
Volume	25
DOIs	https://doi.org/10.1142/S0218202515500384
Publication status	Published - 2015

Keywords

Fractional Choquard equations

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10.1142/S0218202515500384

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title = "On fractional Choquard equations",

abstract = "We investigate a class of nonlinear Schrodinger equations with a generalized Choquard nonlinearity and fractional diffusion. We obtain regularity, existence, nonexistence, symmetry as well as decays properties",

keywords = "Fractional Choquard equations, Fractional Choquard equations",

author = "Pietro D'Avenia and Gaetano Siciliano and Marco Squassina",

year = "2015",

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language = "English",

volume = "25",

pages = "1447--1476",

journal = "Mathematical Models and Methods in Applied Sciences",

issn = "0218-2025",

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TY - JOUR

T1 - On fractional Choquard equations

AU - D'Avenia, Pietro

AU - Siciliano, Gaetano

AU - Squassina, Marco

PY - 2015

Y1 - 2015

N2 - We investigate a class of nonlinear Schrodinger equations with a generalized Choquard nonlinearity and fractional diffusion. We obtain regularity, existence, nonexistence, symmetry as well as decays properties

AB - We investigate a class of nonlinear Schrodinger equations with a generalized Choquard nonlinearity and fractional diffusion. We obtain regularity, existence, nonexistence, symmetry as well as decays properties

KW - Fractional Choquard equations

UR - http://hdl.handle.net/10807/87074

U2 - 10.1142/S0218202515500384

DO - 10.1142/S0218202515500384

M3 - Article

SN - 0218-2025

VL - 25

SP - 1447

EP - 1476

JO - Mathematical Models and Methods in Applied Sciences

JF - Mathematical Models and Methods in Applied Sciences

ER -

On fractional Choquard equations

Abstract

Keywords

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