Some results on two-dimensional Hénon equation with large exponent in nonlinearity

Chunyi Zhao

doi:10.3934/cpaa.2013.12.803

Some results on two-dimensional Hénon equation with large exponent in nonlinearity

Chunyi Zhao^*

^*Corresponding author for this work

School of Mathematical Sciences

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

2 Scopus citations

Abstract

The Hénon equation on a bounded domain in ℝ² with large exponent in the nonlinear term is studied in this paper. We investigate positive solution obtained by the variational method and give its asymptotic behavior as the nonlinear exponent gets large.

Original language	English
Pages (from-to)	803-813
Number of pages	11
Journal	Communications on Pure and Applied Analysis
Volume	12
Issue number	2
DOIs	https://doi.org/10.3934/cpaa.2013.12.803
State	Published - Mar 2013

Keywords

Hénon equation
Least energy solution
Non-radial symmetry

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title = "Some results on two-dimensional H{\'e}non equation with large exponent in nonlinearity",

abstract = "The H{\'e}non equation on a bounded domain in ℝ2 with large exponent in the nonlinear term is studied in this paper. We investigate positive solution obtained by the variational method and give its asymptotic behavior as the nonlinear exponent gets large.",

keywords = "H{\'e}non equation, Least energy solution, Non-radial symmetry",

author = "Chunyi Zhao",

year = "2013",

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doi = "10.3934/cpaa.2013.12.803",

language = "英语",

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AB - The Hénon equation on a bounded domain in ℝ2 with large exponent in the nonlinear term is studied in this paper. We investigate positive solution obtained by the variational method and give its asymptotic behavior as the nonlinear exponent gets large.

KW - Hénon equation

KW - Least energy solution

KW - Non-radial symmetry

UR - https://www.scopus.com/pages/publications/84873294181

U2 - 10.3934/cpaa.2013.12.803

DO - 10.3934/cpaa.2013.12.803

M3 - 文章

AN - SCOPUS:84873294181

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VL - 12

SP - 803

EP - 813

JO - Communications on Pure and Applied Analysis

JF - Communications on Pure and Applied Analysis

IS - 2

ER -

Some results on two-dimensional Hénon equation with large exponent in nonlinearity

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Keywords

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