Coron problem for fractional equations

S. Secchi; N. Shioji; Marco Squassina

Coron problem for fractional equations

Risultato della ricerca: Contributo in rivista › Articolo in rivista › peer review

Abstract

We prove that the critical problem for the fractional Laplacian in an annular type domain admits a positive solution provided that the inner hole is sufficiently small.

Lingua originale	English
pagine (da-a)	103-118
Numero di pagine	16
Rivista	Differential and Integral Equations
Volume	28
Stato di pubblicazione	Pubblicato - 2015

Keywords

Coron problem
fractional problems

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title = "Coron problem for fractional equations",

abstract = "We prove that the critical problem for the fractional Laplacian in an annular type domain admits a positive solution provided that the inner hole is sufficiently small.",

keywords = "Coron problem, fractional problems, Coron problem, fractional problems",

author = "S. Secchi and N. Shioji and Marco Squassina",

year = "2015",

language = "English",

volume = "28",

pages = "103--118",

journal = "Differential and Integral Equations",

issn = "0893-4983",

publisher = "Khayyam Publishing",

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TY - JOUR

T1 - Coron problem for fractional equations

AU - Secchi, S.

AU - Shioji, N.

AU - Squassina, Marco

PY - 2015

Y1 - 2015

N2 - We prove that the critical problem for the fractional Laplacian in an annular type domain admits a positive solution provided that the inner hole is sufficiently small.

AB - We prove that the critical problem for the fractional Laplacian in an annular type domain admits a positive solution provided that the inner hole is sufficiently small.

KW - Coron problem

KW - fractional problems

KW - Coron problem

KW - fractional problems

UR - http://hdl.handle.net/10807/87243

M3 - Article

SN - 0893-4983

VL - 28

SP - 103

EP - 118

JO - Differential and Integral Equations

JF - Differential and Integral Equations

ER -

Coron problem for fractional equations

Abstract

Keywords

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