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arXiv · 2107.05167

$p$-Kirchhoff type equation with Neumann boundary conditions

Weihua Wang
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Abstract

This paper is concerned with the multiplicity results to a class of $p$-Kirchhoff type elliptic equation with the homogeneous Neumann boundary conditions by an abstract linking lemma due to Br\'{e}zis and Nirenberg. We obtain the twofold results in subcritical and critical cases, which is a meaningful addition and completeness to the known results about Kirchhoff equation.

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Weihua Wang. 2021-07-12. $p$-Kirchhoff type equation with Neumann boundary conditions. https://doi.org/10.1002/mma.9643

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