Nonlocal problems at critical growth in contractible domains

Sunra Mosconi; Naoki Shioji; Marco Squassina

doi:10.3233/ASY-151324

Nonlocal problems at critical growth in contractible domains

Sunra Mosconi
, Naoki Shioji
, Marco Squassina

University of Verona
Yokohama National University

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

3 Citations (Scopus)

Abstract

We prove the existence of a positive solution for nonlocal problems involving the fractional Laplacian and a critical growth power nonlinearity when the equation is set in a suitable contractible domain.

Original language	English
Pages (from-to)	79-100
Number of pages	22
Journal	Asymptotic Analysis
DOIs	https://doi.org/10.3233/ASY-151324
Publication status	Published - 2015

Keywords

Nonlocal problems
contractible domains

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10.3233/ASY-151324

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title = "Nonlocal problems at critical growth in contractible domains",

abstract = "We prove the existence of a positive solution for nonlocal problems involving the fractional Laplacian and a critical growth power nonlinearity when the equation is set in a suitable contractible domain.",

keywords = "Nonlocal problems, contractible domains, Nonlocal problems, contractible domains",

author = "Sunra Mosconi and Naoki Shioji and Marco Squassina",

year = "2015",

doi = "10.3233/ASY-151324",

language = "English",

pages = "79--100",

journal = "Asymptotic Analysis",

issn = "0921-7134",

publisher = "SAGE Publications Ltd",

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T1 - Nonlocal problems at critical growth in contractible domains

AU - Mosconi, Sunra

AU - Shioji, Naoki

AU - Squassina, Marco

PY - 2015

Y1 - 2015

N2 - We prove the existence of a positive solution for nonlocal problems involving the fractional Laplacian and a critical growth power nonlinearity when the equation is set in a suitable contractible domain.

AB - We prove the existence of a positive solution for nonlocal problems involving the fractional Laplacian and a critical growth power nonlinearity when the equation is set in a suitable contractible domain.

KW - Nonlocal problems

KW - contractible domains

KW - Nonlocal problems

KW - contractible domains

UR - http://hdl.handle.net/10807/87051

U2 - 10.3233/ASY-151324

DO - 10.3233/ASY-151324

M3 - Article

SN - 0921-7134

SP - 79

EP - 100

JO - Asymptotic Analysis

JF - Asymptotic Analysis

ER -

Nonlocal problems at critical growth in contractible domains

Abstract

Keywords

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