Multiple Sign-Changing Solutions for Kirchhoff-Type Equations

Xingping Li and Xiumei He

Discrete Dynamics in Nature and Society, 2015, vol. 2015, 1-9

Abstract:

We study the following Kirchhoff-type equations , in , , in , where is a bounded smooth domain of , , , , and . Under some suitable conditions, we prove that the equation has three solutions of mountain pass type: one positive, one negative, and sign-changing. Furthermore, if is odd with respect to its second variable, this problem has infinitely many sign-changing solutions.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:985986

DOI: 10.1155/2015/985986

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