Quasilinear elliptic non-homogeneous Dirichlet problems through Orlicz-Sobolev spaces

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• 作者：Gabriele Bonanno^a ; ^{bonanno@unime.it} ; Giovanni Molica Bisci^b ; ^{gmolica@unirc.it} ; Vicen牛iu D. R膬dulescu^c ; ^d ; ^{vicentiu.radulescu@math.cnrs.fr} ; ^{vicentiu.radulescu@imar.ro}
• 关键词：35D05 ; 35J60 ; 35J70 ; 46N20 ; 58E05
• 刊名：Nonlinear Analysis
• 出版年：2012
• 期刊代码：43_0362546x
• 类别：mt
• 出版时间：August, 2012
• 卷：75
• 期：12
• 页码：4441-4456
• 文件大小：272 K

摘要

In this paper, we are interested in the existence of infinitely many weak solutions for a non-homogeneous eigenvalue Dirichlet problem. By using variational methods, in an appropriate Orlicz-Sobolev setting, we determine intervals of parameters such that our problem admits either a sequence of non-negative weak solutions strongly converging to zero provided that the non-linearity has a suitable behaviour at zero or an unbounded sequence of non-negative weak solutions if a similar behaviour occurs at infinity.