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Existence of three solutions for a Navier boundary value problem involving the $p(x)$-biharmonic operator

Tom 109 / 2013

Honghui Yin, Mei Xu Annales Polonici Mathematici 109 (2013), 47-58 MSC: Primary 35D05; Secondary 35J60. DOI: 10.4064/ap109-1-4

Streszczenie

The existence of at least three weak solutions is established for a class of quasilinear elliptic equations involving the $p(x)$-biharmonic operator with Navier boundary value conditions. The proof is mainly based on a three critical points theorem due to B. Ricceri [Nonlinear Anal. 70 (2009), 3084–3089].

Autorzy

  • Honghui YinSchool of Mathematical Sciences
    Huaiyin Normal University
    Jiangsu, Huaian 223001, China
    e-mail
  • Mei XuSchool of Mathematical Sciences
    Huaiyin Normal University
    Jiangsu, Huaian 223001, China
    e-mail

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