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带有临界增长的Kirchhoff型问题的基态解
Ground State Solutions for Some Kirchhoff Type Problems with Critical Growth in R3
本文主要考虑如下Kirchhoff问题
其中a，b是正的常数.我们证明了基态解，即上述问题的极小能量解的存在性.同时，如果假定Q ≡ 1，且h（x）满足一定的条件，可以证明下述问题
的基态解的存在性.
We are concerned with a class of Kirchhoff problem
where a, b > 0 are constants. The existence of ground state solutions, i.e., nontrivial solutions with least possible energy of this Kirchhoff problem is obtained. Moreover, when Q ≡ 1, under suitable conditions on h(x), we prove the existence of ground state solutions for the the following Kirchhoff problem
.
基态解 / Kirchhoff问题 / 临界增长 / 变分方法 {{custom_keyword}} /
ground state solutions / Kirchhoff problem / critical growth / variational method {{custom_keyword}} /
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