Pointwise symmetrization inequalities for Sobolev functions and applications

Joaquim Martín; Mario Milman

Pointwise symmetrization inequalities for Sobolev functions and applications

Joaquim Martín, Mario Milman

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Resum

We develop a technique to obtain new symmetrization inequalities that provide a unified framework to study Sobolev inequalities, concentration inequalities and sharp integrability of solutions of elliptic equations. © 2010 Elsevier Inc.

Idioma original	Anglès
Pàgines (de-a)	121-199
Revista	Advances in Mathematics
Volum	225
Número	1
Estat de la publicació	Publicada - 1 de set. 2010

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https://ddd.uab.cat/record/270409

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https://www.scopus.com/pages/publications/77954314022

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title = "Pointwise symmetrization inequalities for Sobolev functions and applications",

abstract = "We develop a technique to obtain new symmetrization inequalities that provide a unified framework to study Sobolev inequalities, concentration inequalities and sharp integrability of solutions of elliptic equations. {\textcopyright} 2010 Elsevier Inc.",

keywords = "Concentration, Isoperimetric inequalities, Logarithmic Sobolev inequalities, Poincar{\'e}, Symmetrization",

author = "Joaquim Mart{\'i}n and Mario Milman",

year = "2010",

month = sep,

day = "1",

language = "English",

volume = "225",

pages = "121--199",

journal = "Advances in Mathematics",

issn = "0001-8708",

publisher = "Academic Press Inc.",

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T1 - Pointwise symmetrization inequalities for Sobolev functions and applications

AU - Martín, Joaquim

AU - Milman, Mario

PY - 2010/9/1

Y1 - 2010/9/1

N2 - We develop a technique to obtain new symmetrization inequalities that provide a unified framework to study Sobolev inequalities, concentration inequalities and sharp integrability of solutions of elliptic equations. © 2010 Elsevier Inc.

AB - We develop a technique to obtain new symmetrization inequalities that provide a unified framework to study Sobolev inequalities, concentration inequalities and sharp integrability of solutions of elliptic equations. © 2010 Elsevier Inc.

KW - Concentration

KW - Isoperimetric inequalities

KW - Logarithmic Sobolev inequalities

KW - Poincaré

KW - Symmetrization

UR - https://www.scopus.com/pages/publications/77954314022

M3 - Article

SN - 0001-8708

VL - 225

SP - 121

EP - 199

JO - Advances in Mathematics

JF - Advances in Mathematics

IS - 1

ER -

Pointwise symmetrization inequalities for Sobolev functions and applications

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