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Existence and multiplicity of solutions for p(x)‐Laplacian equations in RN

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  • Weihong Xie
  • Haibo Chen

Abstract

In this paper, we study a class of sublinear or superlinear p(x)‐Laplacian equations in RN. Some new criteria to guarantee that the existence of multiple solutions for the considered problem is established by using the Morse theory and minimax methods.

Suggested Citation

  • Weihong Xie & Haibo Chen, 2018. "Existence and multiplicity of solutions for p(x)‐Laplacian equations in RN," Mathematische Nachrichten, Wiley Blackwell, vol. 291(16), pages 2476-2488, November.
  • Handle: RePEc:bla:mathna:v:291:y:2018:i:16:p:2476-2488
    DOI: 10.1002/mana.201700059
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    Cited by:

    1. Bin-Sheng Wang & Gang-Ling Hou & Bin Ge, 2020. "Existence and Uniqueness of Solutions for the p ( x )-Laplacian Equation with Convection Term," Mathematics, MDPI, vol. 8(10), pages 1-10, October.
    2. Zengfei Chen & Bingliang Shen, 2023. "The Existence of Entropy Solutions for a Class of Parabolic Equations," Mathematics, MDPI, vol. 11(17), pages 1-24, August.

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