On Very Weak Positive Solutions to Some Semilinear Elliptic Problems With Simultaneous Singular Nonlinear and Spatial Dependence Terms

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• 作者：1. Departamento de Matemática Aplicada ; Universidad Complutense de Madrid ; Plaza de las Ciencias No. 3 ; 28040 Madrid ; Spain2. Departamento de Matemáticas ; Universidad Autonóma de Madrid ; 28049 Madrid ; Spain3. Laboratoire de Mathématiques et Applications ; Université de Poitiers ; Boulevard Marie et Pierre Curie ; Téléport 2 ; BP 30179 ; 86962 Futuroscope Chasseneuil Cedex ; France
• 关键词：Nonlinear singular elliptic equations – positive very weak solutions
• 刊名：Milan Journal of Mathematics
• 出版年：2011
• 出版时间：June 2011
• 年：2011
• 卷：79
• 期：1
• 页码：233-245
• 全文大小：240.0 KB
• 参考文献：1. H. Brezis, Une équation semi-linéaire avec conditions aux limites dans L 1, unpublished. Personal communication to J.I. Díaz.
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• 作者单位：http://www.springerlink.com/content/r17l23wm637r5483/
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Mathematics
  Analysis
  
• 出版者：Birkh盲user Basel
• ISSN：1424-9294

文摘

We use recent results by Díaz and Rakotoson concerning very weak solutions to linear boundary value problems in order to improve previous work on existence and properties of weak positive solutions to a model example of semilinear singular elliptic problem.