Some counterexamples related to the stationary Kirchhoff equation

Jorge Garc�a-Meli�n, Leonelo Iturriaga

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

� 2016 American Mathematical Society. In this note we consider the stationary Kirchhoff equation (eqution found) where M is a continuous positive function and ‖�‖ 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 languageEnglish
Pages (from-to)3405-3411
Number of pages7
JournalProceedings of the American Mathematical Society
DOIs
Publication statusPublished - 1 Jan 2016
Externally publishedYes

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