Nonlocal problems with critical hardy nonlinearity

Wenjing Chen; Sunra Mosconi; Marco Squassina

doi:10.1016/j.jfa.2018.02.020

Nonlocal problems with critical hardy nonlinearity

Wenjing Chen
, Sunra Mosconi
, Marco Squassina^*

^*Corresponding author

Southwest University
University of Catania

Research output: Contribution to journal › Article

19 Citations (Scopus)

Abstract

By means of variational methods we establish existence and multiplicity of solutions for a class of nonlinear nonlocal problems involving the fractional p-Laplacian and a combined Sobolev and Hardy nonlinearity at subcritical and critical growth.

Original language	English
Pages (from-to)	3065-3114
Number of pages	50
Journal	Journal of Functional Analysis
Volume	275
DOIs	https://doi.org/10.1016/j.jfa.2018.02.020
Publication status	Published - 2018

Keywords

Hardy nonlinearity

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10.1016/j.jfa.2018.02.020

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@article{eb7f16205a0448468569f299d2fa0cb8,

title = "Nonlocal problems with critical hardy nonlinearity",

abstract = "By means of variational methods we establish existence and multiplicity of solutions for a class of nonlinear nonlocal problems involving the fractional p-Laplacian and a combined Sobolev and Hardy nonlinearity at subcritical and critical growth.",

keywords = "Hardy nonlinearity, Hardy nonlinearity",

author = "Wenjing Chen and Sunra Mosconi and Marco Squassina",

year = "2018",

doi = "10.1016/j.jfa.2018.02.020",

language = "English",

volume = "275",

pages = "3065--3114",

journal = "Journal of Functional Analysis",

issn = "0022-1236",

publisher = "Academic Press Inc.",

}

TY - JOUR

T1 - Nonlocal problems with critical hardy nonlinearity

AU - Chen, Wenjing

AU - Mosconi, Sunra

AU - Squassina, Marco

PY - 2018

Y1 - 2018

N2 - By means of variational methods we establish existence and multiplicity of solutions for a class of nonlinear nonlocal problems involving the fractional p-Laplacian and a combined Sobolev and Hardy nonlinearity at subcritical and critical growth.

AB - By means of variational methods we establish existence and multiplicity of solutions for a class of nonlinear nonlocal problems involving the fractional p-Laplacian and a combined Sobolev and Hardy nonlinearity at subcritical and critical growth.

KW - Hardy nonlinearity

UR - http://hdl.handle.net/10807/132123

U2 - 10.1016/j.jfa.2018.02.020

DO - 10.1016/j.jfa.2018.02.020

M3 - Article

SN - 0022-1236

VL - 275

SP - 3065

EP - 3114

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

ER -

Nonlocal problems with critical hardy nonlinearity

Abstract

Keywords

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