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LOCATION OF THE BLOW UP POINT FOR POSITIVE SOLUTIONS OF A BIHARMONIC EQUATION INVOLVING NEARLY CRITICAL EXPONENT 被引量：1

LOCATION OF THE BLOW UP POINT FOR POSITIVE SOLUTIONS OF A BIHARMONIC EQUATION INVOLVING NEARLY CRITICAL EXPONENT
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摘要 In this paper a semilinear biharmonic problem involving nearly critical growth with Navier boundary condition is considered on an any bounded smooth domain. It is proved that positive solutions concentrate on a point in the domain, which is also a critical point of the Robin’s function corresponding to the Green’s function of biharmonic operator with the same boundary condition. Similar conclusion has been obtained in [6] under the condition that the domain is strictly convex. In this paper a semilinear biharmonic problem involving nearly critical growth with Navier boundary condition is considered on an any bounded smooth domain. It is proved that positive solutions concentrate on a point in the domain, which is also a critical point of the Robin's function corresponding to the Green's function of biharmonic operator with the same boundary condition. Similar conclusion has been obtained in [6] under the condition that the domain is strictly convex.
作者 耿堤
机构地区 Department of Mathematics South China Normal University
出处 《Acta Mathematica Scientia》 SCIE CSCD 2005年第2期283-295,共13页 数学物理学报（B辑英文版）
基金 The research work was supported by the National Natural Foundation of China (10371045)Guangdong Provincial Natural Science Foundation of China (000671).
关键词 Biharmonic operator Navier boundary conditions asymptotic behavior critical exponents Green's function Biharmonic operator, Navier boundary conditions, asymptotic behavior, critical exponents, Green's function
分类号 O174.3 [理学—基础数学]
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参考文献16

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Acta Mathematica Scientia
2005年 第2期

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