Existence and symmetry of least energy solutions for a class of quasi-linear elliptic equations

Louis Jeanjean; Marco Squassina

doi:10.1016/j.anihpc.2008.11.003

Existence and symmetry of least energy solutions for a class of quasi-linear elliptic equations

Louis Jeanjean, Marco Squassina

Université de Franche-Comté

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

6 Citazioni (Scopus)

Abstract

For a general class of autonomous quasi-linear elliptic equations on Rn we prove the existence of a least energy solution and show that all least energy solutions do not change sign and are radially symmetric up to a translation in Rn

Lingua originale	English
pagine (da-a)	1701-1716
Numero di pagine	16
Rivista	ANNALES DE L INSTITUT HENRI POINCARÉ. ANALYSE NON LINÉAIRE
Volume	26
DOI	https://doi.org/10.1016/j.anihpc.2008.11.003
Stato di pubblicazione	Pubblicato - 2009

Keywords

quasilinear problems

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10.1016/j.anihpc.2008.11.003

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title = "Existence and symmetry of least energy solutions for a class of quasi-linear elliptic equations",

abstract = "For a general class of autonomous quasi-linear elliptic equations on Rn we prove the existence of a least energy solution and show that all least energy solutions do not change sign and are radially symmetric up to a translation in Rn",

keywords = "quasilinear problems, quasilinear problems",

author = "Louis Jeanjean and Marco Squassina",

year = "2009",

doi = "10.1016/j.anihpc.2008.11.003",

language = "English",

volume = "26",

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journal = "ANNALES DE L INSTITUT HENRI POINCAR{\'E}. ANALYSE NON LIN{\'E}AIRE",

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TY - JOUR

T1 - Existence and symmetry of least energy solutions for a class of quasi-linear elliptic equations

AU - Jeanjean, Louis

AU - Squassina, Marco

PY - 2009

Y1 - 2009

N2 - For a general class of autonomous quasi-linear elliptic equations on Rn we prove the existence of a least energy solution and show that all least energy solutions do not change sign and are radially symmetric up to a translation in Rn

AB - For a general class of autonomous quasi-linear elliptic equations on Rn we prove the existence of a least energy solution and show that all least energy solutions do not change sign and are radially symmetric up to a translation in Rn

KW - quasilinear problems

UR - http://hdl.handle.net/10807/90081

U2 - 10.1016/j.anihpc.2008.11.003

DO - 10.1016/j.anihpc.2008.11.003

M3 - Article

SN - 0294-1449

VL - 26

SP - 1701

EP - 1716

JO - ANNALES DE L INSTITUT HENRI POINCARÉ. ANALYSE NON LINÉAIRE

JF - ANNALES DE L INSTITUT HENRI POINCARÉ. ANALYSE NON LINÉAIRE

ER -

Existence and symmetry of least energy solutions for a class of quasi-linear elliptic equations

Abstract

Keywords

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