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带位势的基尔霍夫方程规范解的存在性(英文)
引用本文:梁艳霞.带位势的基尔霍夫方程规范解的存在性(英文)[J].数学季刊,2023(2):196-209.
作者姓名:梁艳霞
作者单位:School of Mathematics and Statistics, Guangdong University of Technology
摘    要:In this paper we discuss the following Kirchhoff equation ■ where a, b, μ and c are positive numbers, λ is unknown and appears as a Lagrange multiplier,(14)/3< q < p < 6 and V is a continuous non-positive function vanishing at infinity. Under some mild assumptions on V, we prove the existence of a mountain pass normalized solution. Here we study the existence of normalized solution to mass supercritical Kirchhoff equation with potential via the minimax principle and Nehari-Pohozaev mani...

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