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Multiple Sign-Changing Solutions for Kirchhoff-Type Equations

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  • Xingping Li
  • Xiumei He

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.

Suggested Citation

  • Xingping Li & Xiumei He, 2015. "Multiple Sign-Changing Solutions for Kirchhoff-Type Equations," Discrete Dynamics in Nature and Society, Hindawi, vol. 2015, pages 1-9, December.
    • Handle: RePEc:hin:jnddns:985986
    DOI: 10.1155/2015/985986
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