### Abstract

ï¿½ 2016 American Mathematical Society. In this note we consider the stationary Kirchhoff equation (eqution found) where M is a continuous positive function and ‖ï¿½‖ is the standard norm in H10(Ω). We show that the equation does not enjoy the usual comparison principles (both weak or strong) nor the sub and supersolutions method.

Original language | English |
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Pages (from-to) | 3405-3411 |

Number of pages | 7 |

Journal | Proceedings of the American Mathematical Society |

DOIs | |

Publication status | Published - 1 Jan 2016 |

Externally published | Yes |

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## Cite this

Garcï¿½a-Meliï¿½n, J., & Iturriaga, L. (2016). Some counterexamples related to the stationary Kirchhoff equation.

*Proceedings of the American Mathematical Society*, 3405-3411. https://doi.org/10.1090/proc/12971