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Fractional Kirchhoff–Choquard equation involving Schrödinger term and upper critical exponent
The Journal of Geometric Analysis ( IF 1.1 ) Pub Date : 2021-12-01 , DOI: 10.1007/s12220-021-00747-5
Yanbin Sang 1 , Sihua Liang 2
Affiliation  

In this paper, we consider fractional degenerate and non-degenerate Kirchhoff type Schrödinger–Choquard problems with upper critical exponent, respectively. By studying the solutions of limit problems for above problems and establishing some local and global compactness results, we provide some sufficient conditions under which above problems have at least one or two bounded state solutions. Our main tools adopted in our proof are splitting theorem and linking theorem.



中文翻译:

涉及薛定谔项和上临界指数的分数阶 Kirchhoff-Choquard 方程

在本文中,我们分别考虑具有上临界指数的分数简并和非简并 Kirchhoff 型 Schrödinger-Choquard 问题。通过研究上述问题的极限问题的解并建立一些局部和全局紧致性结果,我们提供了上述问题至少有一个或两个有界状态解的充分条件。我们在证明中采用的主要工具是分裂定理和链接定理。

更新日期:2021-12-02
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