Infinitely Many Sign-Changing Solutions for Kirchhoff-Type Equations in R^3

Infinitely Many Sign-Changing Solutions for Kirchhoff-Type Equations in R^3
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R^3 中基尔霍夫型方程的无穷多个变号解

DOI:
10.1007/s40840-017-0534-4
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发表时间:
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期刊:
Bull.Malays.Math.Sci.Soc
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通讯作者:
廖芳芳
廖芳芳
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其他
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作者:
廖芳芳

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利用极小极大方法结合下降流不变集,证明了一类Kirchhoff型方程变号解的存在性。特别地,获得了一系列高能量的符号变化的解决方案。
Employing the minimax method incorporated with invariant sets of descending flow, we prove some results about the existence of sign-changing solutions for a class of Kirchhoff-type equation. In particular, a sequence of high-energy sign-changing solutions is obtained.