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Existence results for Liouville equations and systems
Journal of Mathematical Analysis and Applications ( IF 1.3 ) Pub Date : 2020-06-27 , DOI: 10.1016/j.jmaa.2020.124325 Jiaming Jin
中文翻译:
Liouville方程和系统的存在结果
更新日期:2020-06-27
Journal of Mathematical Analysis and Applications ( IF 1.3 ) Pub Date : 2020-06-27 , DOI: 10.1016/j.jmaa.2020.124325 Jiaming Jin
We consider the following Liouville system: where . We show the existence of global branches of non-radial solutions with , bifurcating from at the values for some special and . We also show the existence and non-existence results with , under some suitable assumptions on for .
中文翻译:
Liouville方程和系统的存在结果
我们考虑以下Liouville系统: 哪里 。我们证明存在非径向解的全局分支,从 在价值 对于一些特殊的 和 。我们还显示了存在和不存在的结果,在以下适当假设下 对于 。