PROPERTIES OF SOLUTIONS TO A HARMONIC-MAPPING TYPE EQUATION WITH A DIRICHLET BOUNDARY CONDITION |
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作者姓名: | 陈博 陈正茂 谢君辉 |
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作者单位: | 1. School of Mathematics and Statistics, Hubei Minzu University;2. School of Mathematics and Information Science, Guangzhou University |
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基金项目: | The first author and the third author were supported by the National Natural Science Foundation of China (11761030);;The second author was supported by the China Postdoctoral Science Foundation (2021M690773); |
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摘 要: | In the present paper, we consider the problem ■ where β1, β2 > 0 and β1 + β2 < 1, and ? is a convex domain in Rn. The existence, uniqueness,regularity and (2-β2)/(1-β1-β2)-concavity of the positive solutions of the problem(0.1) are proven.
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