Hölder continuity for Trudinger's equation in measure spaces

Tuomo Kuusi; Rojbin Laleoglu; Juhana Siljander; José Miguel Urbano

doi:10.1007/s00526-011-0456-1

Hölder continuity for Trudinger's equation in measure spaces

Tuomo Kuusi^*, Rojbin Laleoglu, Juhana Siljander, José Miguel Urbano

^*Tämän työn vastaava kirjoittaja

Matematiikan ja systeemianalyysin laitos

University of Coimbra

Tutkimustuotos: Lehtiartikkeli › Article › Scientific › vertaisarvioitu

26 Sitaatiot (Scopus)

Abstrakti

We complete the study of the regularity for Trudinger's equation by proving that weak solutions are Hölder continuous also in the singular case. The setting is that of a measure space with a doubling non-trivial Borel measure supporting a Poincaré inequality. The proof uses the Harnack inequality and intrinsic scaling.

Alkuperäiskieli	Englanti
Sivut	193-229
Sivumäärä	37
Julkaisu	Calculus of Variations and Partial Differential Equations
Vuosikerta	45
Numero	1-2
DOI - pysyväislinkit	https://doi.org/10.1007/s00526-011-0456-1
Tila	Julkaistu - syysk. 2012
OKM-julkaisutyyppi	A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä

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10.1007/s00526-011-0456-1

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title = "H{\"o}lder continuity for Trudinger's equation in measure spaces",

abstract = "We complete the study of the regularity for Trudinger's equation by proving that weak solutions are H{\"o}lder continuous also in the singular case. The setting is that of a measure space with a doubling non-trivial Borel measure supporting a Poincar{\'e} inequality. The proof uses the Harnack inequality and intrinsic scaling.",

author = "Tuomo Kuusi and Rojbin Laleoglu and Juhana Siljander and Urbano, {Jos{\'e} Miguel}",

year = "2012",

month = sep,

doi = "10.1007/s00526-011-0456-1",

language = "English",

volume = "45",

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issn = "0944-2669",

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T1 - Hölder continuity for Trudinger's equation in measure spaces

AU - Kuusi, Tuomo

AU - Laleoglu, Rojbin

AU - Siljander, Juhana

AU - Urbano, José Miguel

PY - 2012/9

Y1 - 2012/9

N2 - We complete the study of the regularity for Trudinger's equation by proving that weak solutions are Hölder continuous also in the singular case. The setting is that of a measure space with a doubling non-trivial Borel measure supporting a Poincaré inequality. The proof uses the Harnack inequality and intrinsic scaling.

AB - We complete the study of the regularity for Trudinger's equation by proving that weak solutions are Hölder continuous also in the singular case. The setting is that of a measure space with a doubling non-trivial Borel measure supporting a Poincaré inequality. The proof uses the Harnack inequality and intrinsic scaling.

UR - http://www.scopus.com/inward/record.url?scp=84865630591&partnerID=8YFLogxK

U2 - 10.1007/s00526-011-0456-1

DO - 10.1007/s00526-011-0456-1

M3 - Article

AN - SCOPUS:84865630591

SN - 0944-2669

VL - 45

SP - 193

EP - 229

JO - Calculus of Variations and Partial Differential Equations

JF - Calculus of Variations and Partial Differential Equations

IS - 1-2

ER -

Hölder continuity for Trudinger's equation in measure spaces

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