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The Nehari Manifold Approach for a p(x)-Laplacian Problem with Nonlinear Boundary Conditions

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Ukrainian Mathematical Journal Aims and scope

We consider a class of p(x)-Laplacian equations involving nonnegative weight functions with nonlinear boundary conditions. Our technical approach is based on the Nehari manifold, which is similar to the fibering method proposed by Drabek and Pohozaev, together with the recent idea from Brown and Wu.

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Authors and Affiliations

  1. Department of Mathematics, Babol Noshirvani University of Technology, Babol, Iran

    S. H. Rasouli & K. Fallah

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  1. S. H. Rasouli
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  2. K. Fallah
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 69, No. 1, pp. 92–103, January, 2017.

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Rasouli, S.H., Fallah, K. The Nehari Manifold Approach for a p(x)-Laplacian Problem with Nonlinear Boundary Conditions. Ukr Math J 69, 111–125 (2017). https://doi.org/10.1007/s11253-017-1350-6

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  • DOI: https://doi.org/10.1007/s11253-017-1350-6

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