Symmetry of n-mode positive solutions for two dimensional Henon type systems

Naoki Shioji; Marco Squassina

doi:10.1016/j.jmaa.2013.03.056

Symmetry of n-mode positive solutions for two dimensional Henon type systems

Naoki Shioji, Marco Squassina

Yokohama National University

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

Abstract

We provide a symmetry result for n-mode positive solutions of a general class of semilinear elliptic systems under cooperative conditions on the nonlinearities. Moreover, we apply the result to a class of Hénon systems and provide the existence of multiple n-mode positive solutions.

Lingua originale	English
pagine (da-a)	128-134
Numero di pagine	7
Rivista	Journal of Mathematical Analysis and Applications
Volume	405
DOI	https://doi.org/10.1016/j.jmaa.2013.03.056
Stato di pubblicazione	Pubblicato - 2013

Keywords

Symmetry of solutions

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10.1016/j.jmaa.2013.03.056

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title = "Symmetry of n-mode positive solutions for two dimensional Henon type systems",

abstract = "We provide a symmetry result for n-mode positive solutions of a general class of semilinear elliptic systems under cooperative conditions on the nonlinearities. Moreover, we apply the result to a class of H{\'e}non systems and provide the existence of multiple n-mode positive solutions.",

keywords = "Symmetry of solutions, Symmetry of solutions",

author = "Naoki Shioji and Marco Squassina",

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AU - Shioji, Naoki

AU - Squassina, Marco

PY - 2013

Y1 - 2013

N2 - We provide a symmetry result for n-mode positive solutions of a general class of semilinear elliptic systems under cooperative conditions on the nonlinearities. Moreover, we apply the result to a class of Hénon systems and provide the existence of multiple n-mode positive solutions.

AB - We provide a symmetry result for n-mode positive solutions of a general class of semilinear elliptic systems under cooperative conditions on the nonlinearities. Moreover, we apply the result to a class of Hénon systems and provide the existence of multiple n-mode positive solutions.

KW - Symmetry of solutions

UR - http://hdl.handle.net/10807/88987

U2 - 10.1016/j.jmaa.2013.03.056

DO - 10.1016/j.jmaa.2013.03.056

M3 - Article

SN - 0022-247X

VL - 405

SP - 128

EP - 134

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

ER -

Symmetry of n-mode positive solutions for two dimensional Henon type systems

Abstract

Keywords

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