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On a class of Kirchhoff equations involving an anisotropic operator and potential
Arabian Journal of Mathematics ( IF 0.9 ) Pub Date : 2020-11-21 , DOI: 10.1007/s40065-020-00304-y
Mohammed Massar

In this work, we are concerned with a class of fractional equations of Kirchhoff type with potential. Using variational methods and a variant of quantitative deformation lemma, we prove the existence of a least energy sign-changing solution. Moreover, the existence of infinitely many solution is established.



中文翻译:

关于一类涉及各向异性算子和势的基尔霍夫方程

在这项工作中,我们关注一类具有潜力的Kirchhoff型分数方程。使用变分方法和定量变形引理的变体,我们证明了最小能量符号转换解的存在。而且,建立了无限多个解的存在。

更新日期:2020-11-21
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