Positivity, Symmetry and uniqueness for minimizers of second order Sobolev inequalities

ALBERTO FERRERO; F GAZZOLA; T. WETH

doi:10.1007/s10231-006-0019-9

Positivity, Symmetry and uniqueness for minimizers of second order Sobolev inequalities

ALBERTO FERRERO, F GAZZOLA, T. WETH

Dipartimento di Scienze e Innovazione Tecnologica

Risultato della ricerca: Contributo su rivista › Articolo in rivista › peer review

Abstract

We prove that minimizers for subcritical second-order Sobolev embeddings in the unit ball are unique, positive and radially symmetric. Since the proofs of the corresponding first-order results cannot be extended to the present situation, we apply new and recently developed techniques.

Lingua originale	Inglese
pagine (da-a)	565-578
Numero di pagine	14
Rivista	Annali di Matematica Pura ed Applicata
Volume	186
Numero di pubblicazione	4
DOI	https://doi.org/10.1007/s10231-006-0019-9
Stato di pubblicazione	Pubblicato - 2007

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10.1007/s10231-006-0019-9

http://hdl.handle.net/11579/22591

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abstract = "We prove that minimizers for subcritical second-order Sobolev embeddings in the unit ball are unique, positive and radially symmetric. Since the proofs of the corresponding first-order results cannot be extended to the present situation, we apply new and recently developed techniques.",

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AB - We prove that minimizers for subcritical second-order Sobolev embeddings in the unit ball are unique, positive and radially symmetric. Since the proofs of the corresponding first-order results cannot be extended to the present situation, we apply new and recently developed techniques.

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DO - 10.1007/s10231-006-0019-9

M3 - Article

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JO - Annali di Matematica Pura ed Applicata

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Positivity, Symmetry and uniqueness for minimizers of second order Sobolev inequalities

Abstract

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