Thanh Chung, Nguyen:
*Existence of solutions for perturbed fourth order elliptic equations with variable exponents.*
Electronic journal of qualitative theory of differential equations 96.
pp. 1-19. (2018)

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## Abstract

Using variational methods, we study the existence and multiplicity of solutions for a class of fourth order elliptic equations of the form 2 p(x) u − M �R 1 p(x) |∇u| p(x) dx� ∆p(x)u = f(x, u) in Ω, u = ∆u = 0 on ∂Ω, where Ω ⊂ RN, N ≥ 3, is a smooth bounded domain, ∆ 2 p(x) u = ∆(|∆u| p(x)−2∆u) is the operator of fourth order called the p(x)-biharmonic operator, ∆p(x)u = div |∇u| p(x)−2∇u is the p(x)-Laplacian, p : Ω → R is a log-Hölder continuous function, M : [0, +∞) → R and f : Ω × R → R are two continuous functions satisfying some certain condition.

Item Type: | Article |
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Journal or Publication Title: | Electronic journal of qualitative theory of differential equations |

Date: | 2018 |

Number: | 96 |

Page Range: | pp. 1-19 |

ISSN: | 1417-3875 |

DOI: | https://doi.org/10.14232/ejqtde.2018.1.96 |

Uncontrolled Keywords: | Differenciálegyenlet - elliptikus, Kirchhoff típusú problémák |

Additional Information: | Bibliogr.: p. 16-19. ; összefoglalás angol nyelven |

Date Deposited: | 2019. Jan. 25. 12:02 |

Last Modified: | 2019. Jan. 25. 12:02 |

URI: | http://acta.bibl.u-szeged.hu/id/eprint/56908 |

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