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arxiv: 1510.02151 · v1 · pith:CWZMU7MWnew · submitted 2015-10-07 · 🧮 math.AP

Some remarks on the comparison principle in Kirchhoff equations

classification 🧮 math.AP
keywords kirchhoffsomecomparisonequationsmethodprinciplesub-supersolutionalternative
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In this paper we study the validity of the comparison principle and the sub-supersolution method for Kirchhoff type equations. We show that these principles do not work when the Kirchhoff function is increasing, contradicting some previous results. We give an alternative sub-supersolution method and apply it to some models.

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