Solutions with high dimensional singular set, to a conformally invariant elliptic equation in ℝ4 and in ℝ6

Frank Pacard

doi:10.1007/BF02102645

Solutions with high dimensional singular set, to a conformally invariant elliptic equation in ℝ⁴ and in ℝ⁶

Frank Pacard

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

We construct positive weak solutions to the equation {Mathematical expression}, where -Δ₀ denotes the conformal Laplacian on the n-sphere (n=4, 6), having singular sets of Hausdorff dimension greater than or equal to {Mathematical expression}.

langue originale	Anglais
Pages (de - à)	423-432
Nombre de pages	10
journal	Communications in Mathematical Physics
Volume	159
Numéro de publication	2
Les DOIs	https://doi.org/10.1007/BF02102645
état	Publié - 1 janv. 1994

Accès au document

10.1007/BF02102645

Contient cette citation

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title = "Solutions with high dimensional singular set, to a conformally invariant elliptic equation in ℝ4 and in ℝ6",

abstract = "We construct positive weak solutions to the equation \{Mathematical expression\}, where -Δ0 denotes the conformal Laplacian on the n-sphere (n=4, 6), having singular sets of Hausdorff dimension greater than or equal to \{Mathematical expression\}.",

author = "Frank Pacard",

year = "1994",

month = jan,

day = "1",

doi = "10.1007/BF02102645",

language = "English",

volume = "159",

pages = "423--432",

journal = "Communications in Mathematical Physics",

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AU - Pacard, Frank

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N2 - We construct positive weak solutions to the equation {Mathematical expression}, where -Δ0 denotes the conformal Laplacian on the n-sphere (n=4, 6), having singular sets of Hausdorff dimension greater than or equal to {Mathematical expression}.

AB - We construct positive weak solutions to the equation {Mathematical expression}, where -Δ0 denotes the conformal Laplacian on the n-sphere (n=4, 6), having singular sets of Hausdorff dimension greater than or equal to {Mathematical expression}.

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DO - 10.1007/BF02102645

M3 - Article

AN - SCOPUS:21344496954

SN - 0010-3616

VL - 159

SP - 423

EP - 432

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

IS - 2

ER -

Solutions with high dimensional singular set, to a conformally invariant elliptic equation in ℝ4 and in ℝ6

Résumé

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Contient cette citation

Solutions with high dimensional singular set, to a conformally invariant elliptic equation in ℝ⁴ and in ℝ⁶