Existence of Nonradial Solutions for Hénon Type Biharmonic Equation Involving Critical Sobolev Exponents

We prove the existence of nonradial solutions under some conditions for a semilinear biharmonic Dirichlet problem involving critical Sobolev exponents.

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Main Authors: Yajing Zhang, Ningning Wang, Yinmei Lü, Jianghao Hao
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/684679
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author Yajing Zhang
Ningning Wang
Yinmei Lü
Jianghao Hao
author_facet Yajing Zhang
Ningning Wang
Yinmei Lü
Jianghao Hao
author_sort Yajing Zhang
collection DOAJ
description We prove the existence of nonradial solutions under some conditions for a semilinear biharmonic Dirichlet problem involving critical Sobolev exponents.
format Article
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institution Kabale University
issn 1085-3375
1687-0409
language English
publishDate 2014-01-01
publisher Wiley
record_format Article
series Abstract and Applied Analysis
spelling doaj-art-a89e4c1f235f4bccb6944c2cfab439c12025-02-03T01:01:58ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/684679684679Existence of Nonradial Solutions for Hénon Type Biharmonic Equation Involving Critical Sobolev ExponentsYajing Zhang0Ningning Wang1Yinmei Lü2Jianghao Hao3School of Mathematical Sciences, Shanxi University, Taiyuan, Shanxi 030006, ChinaSchool of Mathematical Sciences, Shanxi University, Taiyuan, Shanxi 030006, ChinaSchool of Mathematical Sciences, Shanxi University, Taiyuan, Shanxi 030006, ChinaSchool of Mathematical Sciences, Shanxi University, Taiyuan, Shanxi 030006, ChinaWe prove the existence of nonradial solutions under some conditions for a semilinear biharmonic Dirichlet problem involving critical Sobolev exponents.http://dx.doi.org/10.1155/2014/684679
spellingShingle Yajing Zhang
Ningning Wang
Yinmei Lü
Jianghao Hao
Existence of Nonradial Solutions for Hénon Type Biharmonic Equation Involving Critical Sobolev Exponents
Abstract and Applied Analysis
title Existence of Nonradial Solutions for Hénon Type Biharmonic Equation Involving Critical Sobolev Exponents
title_full Existence of Nonradial Solutions for Hénon Type Biharmonic Equation Involving Critical Sobolev Exponents
title_fullStr Existence of Nonradial Solutions for Hénon Type Biharmonic Equation Involving Critical Sobolev Exponents
title_full_unstemmed Existence of Nonradial Solutions for Hénon Type Biharmonic Equation Involving Critical Sobolev Exponents
title_short Existence of Nonradial Solutions for Hénon Type Biharmonic Equation Involving Critical Sobolev Exponents
title_sort existence of nonradial solutions for henon type biharmonic equation involving critical sobolev exponents
url http://dx.doi.org/10.1155/2014/684679
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AT ningningwang existenceofnonradialsolutionsforhenontypebiharmonicequationinvolvingcriticalsobolevexponents
AT yinmeilu existenceofnonradialsolutionsforhenontypebiharmonicequationinvolvingcriticalsobolevexponents
AT jianghaohao existenceofnonradialsolutionsforhenontypebiharmonicequationinvolvingcriticalsobolevexponents