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

N. Shioji; Marco Squassina

doi:10.1016/j.jmaa.2013.03.056

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

N. Shioji
, Marco Squassina^*

^*Corresponding author

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

Abstract

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

Original language	English
Pages (from-to)	128-134
Number of pages	7
Journal	Journal of Mathematical Analysis and Applications
Volume	405
Issue number	N/A
DOIs	https://doi.org/10.1016/j.jmaa.2013.03.056
Publication status	Published - 2013

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

Keywords

Symmetry of solutions

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10.1016/j.jmaa.2013.03.056

Cite this

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

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

author = "N. Shioji and Marco Squassina",

year = "2013",

doi = "10.1016/j.jmaa.2013.03.056",

language = "English",

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AU - Squassina, Marco

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

KW - Symmetry of solutions

UR - https://publicatt.unicatt.it/handle/10807/88987

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DO - 10.1016/j.jmaa.2013.03.056

M3 - Article

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EP - 134

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - N/A

ER -

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

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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