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PDF(491 KB)
PDF(491 KB)
四维空间中一类带奇异位势的非局部临界指数问题的正解
Positive Solutions for a Nonlocal Critical Problem with Singular Weight in Dimension Four
本文研究了如下非局部临界指数问题
其中Ω⊂R4是一个有界光滑区域且0 ∈ Ω，a≥0，b，λ，μ > 0，1 < q < 2，0 < β < 2.利用变分方法，我们获得了一些存在性与多重性结果.
We are interested in considering the following nonlocal critical problem
where Ω ⊂ R4 is a smooth bounded domain with 0 ∈ Ω, a ≥ 0, b, λ, μ > 0, 1 < q < 2, 0 < β < 2. By using the variational method, some existence and multiplicity results are obtained.
非局部问题 / 临界指数 / 正解 / 变分方法 {{custom_keyword}} /
Nonlocal problem / critical exponent / positive solutions / variational method {{custom_keyword}} /
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西华师范大学博士启动资金项目（16E014）；贵州省教育厅创新群体重大研究项目（KY[2016]046）；贵州省科技厅联合基金项目（LH[2016]7033）
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