Trace Inequalities for Camot-Carathéodory Spaces and Applications

Donatella Danielli; Nicola Garofalo; Duy Minh Nhieu

Trace Inequalities for Camot-Carathéodory Spaces and Applications

Donatella Danielli
, Nicola Garofalo
, Duy Minh Nhieu

Department of Mathematics

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

80 Scopus citations

Abstract

Given a distribution belonging to a sub-elliptic Sobolev space with respect to a system of locally Lipschitz vector fields, we study the problem of its membership to sharp trace spaces with respect to a given Borei measure. Various applications to geometric trace inequalities and to optimal regularity theorems for solutions of quasilinear sub-elliptic equations are presented.

Original language	English
Pages (from-to)	195-252
Number of pages	58
Journal	Annali della Scuola normale superiore di Pisa - Classe di scienze
Volume	27
Issue number	2
State	Published - 1998

Cite this

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abstract = "Given a distribution belonging to a sub-elliptic Sobolev space with respect to a system of locally Lipschitz vector fields, we study the problem of its membership to sharp trace spaces with respect to a given Borei measure. Various applications to geometric trace inequalities and to optimal regularity theorems for solutions of quasilinear sub-elliptic equations are presented.",

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AU - Danielli, Donatella

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N2 - Given a distribution belonging to a sub-elliptic Sobolev space with respect to a system of locally Lipschitz vector fields, we study the problem of its membership to sharp trace spaces with respect to a given Borei measure. Various applications to geometric trace inequalities and to optimal regularity theorems for solutions of quasilinear sub-elliptic equations are presented.

AB - Given a distribution belonging to a sub-elliptic Sobolev space with respect to a system of locally Lipschitz vector fields, we study the problem of its membership to sharp trace spaces with respect to a given Borei measure. Various applications to geometric trace inequalities and to optimal regularity theorems for solutions of quasilinear sub-elliptic equations are presented.

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SN - 0391-173X

VL - 27

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JO - Annali della Scuola normale superiore di Pisa - Classe di scienze

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IS - 2

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Trace Inequalities for Camot-Carathéodory Spaces and Applications

Abstract

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