Arbitrarily small weak solutions for a nonlinear eigenvalue problem in Orlicz-Sobolev spaces (Q766215)
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scientific article; zbMATH DE number 6018280
| Language | Label | Description | Also known as |
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| English | Arbitrarily small weak solutions for a nonlinear eigenvalue problem in Orlicz-Sobolev spaces |
scientific article; zbMATH DE number 6018280 |
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Arbitrarily small weak solutions for a nonlinear eigenvalue problem in Orlicz-Sobolev spaces (English)
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23 March 2012
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From the abstract: Under an appropriate oscillating behavior of the nonlinear term, the existence of a determined open interval of positive parameters for which an eigenvalue non-homogeneous Neumann problem admits infinitely many weak solutions that strongly converges to zero, in an appropriate Orlicz-Sobolev space, is proved. Our approach is based on variational methods. The abstract result of this paper is illustrated by a concrete case.
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quasilinear elliptic equation
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Neumann problem
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Orlicz-Sobolev space
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critical point theory
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0.9136553
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0.90645593
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0.8914609
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0.89136815
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0.88922966
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0.88820916
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0.8866793
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0.88628703
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