On a quasilinear elliptic equation with superlinear nonlinearities

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• 作者：Gao Jia ; Lina Huang ; Xiaojuan Zhang
• 关键词：Weighted Sobolev space ; Superlinear ; Quasilinear elliptic equation ; 35H30 ; 35J50 ; 65L60
• 刊名：Chinese Annals of Mathematics - Series B
• 出版年：2016
• 出版时间：March 2016
• 年：2016
• 卷：37
• 期：2
• 页码：309-322
• 全文大小：189 KB
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• 作者单位：Gao Jia (1)
  Lina Huang (2)
  Xiaojuan Zhang (1)
  
  1. College of Science, University of Shanghai for Science and Technology, Shanghai, 200093, China
  2. Xingwan School, Suzhou, Jiangsu, 215021, China
  
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Mathematics
  Applications of Mathematics
  Chinese Library of Science
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：1860-6261

文摘

This work is devoted to studying a quasilinear elliptic boundary value problem with superlinear nonlinearities in a weighted Sobolev space in a domain of R N . Based on the Galerkin method, Brouwer’s theorem and the weighted compact Sobolev-type embedding theorem, a new result about the existence of solutions is revealed to the problem. Keywords Weighted Sobolev space Superlinear Quasilinear elliptic equation