Symmetry results for the p(x)-Laplacian equation

L. Montoro; B. Sciunzi; Marco Squassina

doi:10.1515/anona-2012-0020

Symmetry results for the p(x)-Laplacian equation

L. Montoro
, B. Sciunzi
, Marco Squassina

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

5 Citations (Scopus)

Abstract

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

Original language	English
Pages (from-to)	43-64
Number of pages	22
Journal	Advanced Nonlinear Studies
Volume	2
Issue number	N/A
DOIs	https://doi.org/10.1515/anona-2012-0020
Publication status	Published - 2013

All Science Journal Classification (ASJC) codes

Analysis

Keywords

Symmetry results

Access to Document

10.1515/anona-2012-0020

Cite this

@article{845e7d30fd11472aa6c944822d141ec2,

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

abstract = "For axially symmetric domains we prove that, under suitable assumptions,\textbackslash{}r\textbackslash{}nthere exist mountain-pass solutions which exhibit partial symmetry. Furthermore, we show\textbackslash{}r\textbackslash{}nthat semi-stable or non-degenerate smooth solutions need to be radially symmetric in the\textbackslash{}r\textbackslash{}nball.",

keywords = "Symmetry results, Symmetry results",

author = "L. Montoro and B. Sciunzi and Marco Squassina",

year = "2013",

doi = "10.1515/anona-2012-0020",

language = "English",

volume = "2",

pages = "43--64",

journal = "Advanced Nonlinear Studies",

issn = "1536-1365",

publisher = "Walter de Gruyter GmbH",

number = "N/A",

}

TY - JOUR

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

AU - Montoro, L.

AU - Sciunzi, B.

AU - Squassina, Marco

PY - 2013

Y1 - 2013

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

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

KW - Symmetry results

UR - https://publicatt.unicatt.it/handle/10807/89017

UR - https://www.scopus.com/inward/citedby.uri?partnerID=HzOxMe3b&scp=84887528056&origin=inward

UR - https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84887528056&origin=inward

U2 - 10.1515/anona-2012-0020

DO - 10.1515/anona-2012-0020

M3 - Article

SN - 1536-1365

VL - 2

SP - 43

EP - 64

JO - Advanced Nonlinear Studies

JF - Advanced Nonlinear Studies

IS - N/A

ER -

Symmetry results for the p(x)-Laplacian equation

Abstract

All Science Journal Classification (ASJC) codes

Keywords

Access to Document

Other files and links

Fingerprint

Cite this