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Arbitrarily small weak solutions for a nonlinear eigenvalue problem in Orlicz-Sobolev spaces - MaRDI portal

Arbitrarily small weak solutions for a nonlinear eigenvalue problem in Orlicz-Sobolev spaces (Q766215)

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scientific article; zbMATH DE number 6018280
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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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