Symmetry results for the p(x)-Laplacian equation

Luigi Montoro; Berardino Sciunzi; Marco Squassina

doi:10.1515/anona-2012-0020

Symmetry results for the p(x)-Laplacian equation

Luigi Montoro, Berardino Sciunzi, Marco Squassina

University of Calabria

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

5 Citazioni (Scopus)

Abstract

For axially symmetric domains we prove that, under suitable assumptions, there exist mountain-pass solutions which exhibit partial symmetry. Furthermore, we show that semi-stable or non-degenerate smooth solutions need to be radially symmetric in the ball.

Lingua originale	English
pagine (da-a)	43-64
Numero di pagine	22
Rivista	Advanced Nonlinear Studies
Volume	2
DOI	https://doi.org/10.1515/anona-2012-0020
Stato di pubblicazione	Pubblicato - 2013

Keywords

Symmetry results

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title = "Symmetry results for the p(x)-Laplacian equation",

abstract = "For axially symmetric domains we prove that, under suitable assumptions, there exist mountain-pass solutions which exhibit partial symmetry. Furthermore, we show that semi-stable or non-degenerate smooth solutions need to be radially symmetric in the ball.",

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author = "Luigi Montoro and Berardino Sciunzi and Marco Squassina",

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T1 - Symmetry results for the p(x)-Laplacian equation

AU - Montoro, Luigi

AU - Sciunzi, Berardino

AU - Squassina, Marco

PY - 2013

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N2 - For axially symmetric domains we prove that, under suitable assumptions, there exist mountain-pass solutions which exhibit partial symmetry. Furthermore, we show that semi-stable or non-degenerate smooth solutions need to be radially symmetric in the ball.

AB - For axially symmetric domains we prove that, under suitable assumptions, there exist mountain-pass solutions which exhibit partial symmetry. Furthermore, we show that semi-stable or non-degenerate smooth solutions need to be radially symmetric in the ball.

KW - Symmetry results

UR - http://hdl.handle.net/10807/89017

U2 - 10.1515/anona-2012-0020

DO - 10.1515/anona-2012-0020

M3 - Article

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VL - 2

SP - 43

EP - 64

JO - Advanced Nonlinear Studies

JF - Advanced Nonlinear Studies

ER -

Symmetry results for the p(x)-Laplacian equation

Abstract

Keywords

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