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一类具有临界指数和不定位势的Kirchhoff型问题解的存在性

GUO Jie,SUO Hongmin, ZHU Yiying, GUO Jiachao

Journal of Guangxi Normal University(Natural Science Edition)（2023）

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Abstract
本文研究一类具有临界指数和不定位势的Kirchhoff型问题解的存在性.首先证明该问题的能量泛函满足山路结构;其次证明能量泛函满足局部(PS).条件,从而获得泛函的紧性条件;最后通过Ekeland变分原理和山路引理,得到该问题2个非平凡解的存在性.
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Key words
Kirchhoff type equations,critical exponent,indefinite potential,variational method
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