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Critical Points Approaches to Elliptic Problems Driven by a p(x)-Laplacian

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Ukrainian Mathematical Journal Aims and scope

We establish the existence of at least three solutions for elliptic problems driven by a p(x)-Laplacian. The existence of at least one nontrivial solution is also proved. The approaches are based on the variational methods and critical-point theory.

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Authors and Affiliations

  1. Razi University, Kermanshah; School of Mathematics, Institute for Research in Fundamental Sciences (IPM), Tehran, Iran

    S. Heidarkhani

  2. Harbin Engineering University, Harbin, China

    B. Ge

Authors
  1. S. Heidarkhani
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  2. B. Ge
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 66, No. 12, pp. 1676–1693, December, 2014.

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Heidarkhani, S., Ge, B. Critical Points Approaches to Elliptic Problems Driven by a p(x)-Laplacian. Ukr Math J 66, 1883–1903 (2015). https://doi.org/10.1007/s11253-015-1057-5

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  • DOI: https://doi.org/10.1007/s11253-015-1057-5

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