H^s versus weighted-C^0 minimizers

A. Iannizzotto; S. Mosconi; Marco Squassina

doi:10.1007/s00030-014-0292-z

H^s versus weighted-C^0 minimizers

A. Iannizzotto^*
, S. Mosconi
, Marco Squassina

^*Corresponding author

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

47 Citations (Scopus)

Abstract

We study a class of semi-linear problems involving the fractional\r\nLaplacian under subcritical or critical growth assumptions. We\r\nprove that, for the corresponding functional, local minimizers with respect\r\nto a C^0-topology weighted with a suitable power of the distance from the\r\nboundary are actually local minimizers in the natural H^s-topology

Original language	English
Pages (from-to)	477-497
Number of pages	21
Journal	NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS
Volume	22
Issue number	3
DOIs	https://doi.org/10.1007/s00030-014-0292-z
Publication status	Published - 2015

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

Keywords

H^s versus C^0
minimizers

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10.1007/s00030-014-0292-z

Cite this

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author = "A. Iannizzotto and S. Mosconi and Marco Squassina",

year = "2015",

doi = "10.1007/s00030-014-0292-z",

language = "English",

volume = "22",

pages = "477--497",

journal = "NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS",

issn = "1021-9722",

publisher = "Birkhaeuser Verlag AG:Viaduktstrasse 42-44, CH 4051 Basel Switzerland:011 41 61 2050707, EMAIL: [email protected], INTERNET: http://www.birkhauser.ch, Fax: 011 41 61 2050792",

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TY - JOUR

T1 - H^s versus weighted-C^0 minimizers

AU - Iannizzotto, A.

AU - Mosconi, S.

AU - Squassina, Marco

PY - 2015

Y1 - 2015

N2 - We study a class of semi-linear problems involving the fractional\r\nLaplacian under subcritical or critical growth assumptions. We\r\nprove that, for the corresponding functional, local minimizers with respect\r\nto a C^0-topology weighted with a suitable power of the distance from the\r\nboundary are actually local minimizers in the natural H^s-topology

AB - We study a class of semi-linear problems involving the fractional\r\nLaplacian under subcritical or critical growth assumptions. We\r\nprove that, for the corresponding functional, local minimizers with respect\r\nto a C^0-topology weighted with a suitable power of the distance from the\r\nboundary are actually local minimizers in the natural H^s-topology

KW - H^s versus C^0

KW - minimizers

KW - H^s versus C^0

KW - minimizers

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U2 - 10.1007/s00030-014-0292-z

DO - 10.1007/s00030-014-0292-z

M3 - Article

SN - 1021-9722

VL - 22

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JO - NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS

JF - NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS

IS - 3

ER -

H^s versus weighted-C^0 minimizers

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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