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| 摘要: |
| 本文研究了非齐次椭圆方程不同衰减正解的存在性和衰减问题. 利用上下解方法, 得到了两个有着不同衰减的正解的存在性, 推广了文献[2] 中非齐次方程正解的存在性. |
| 关键词: 非齐次椭圆问题 正解 存在性 衰减 |
| DOI： |
| 分类号:O175.25 |
| 基金项目:国家自然科学基金资助(10901126;11201355);湖北省教育厅基金资助(D20131108);国家教育部博士点基金资助(20134219120003). |
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| DECAY RATE OF POSITIVE SOLUTIONS FOR AN INHOMOGENEROUS ELLIPTIC EQUATION IN ENTIRE SPACE |
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YANG Fen,HU Song
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| Abstract: |
| In this paper, we discuss the existence and decay rate of positive solutions for the elliptic problem. By super and subsolutions method, we establish two existence theorems of positive solutions with different decay rate, which is a generation of the existence in [2]. |
| Key words: inhomogeneous elliptic problem positive solutions existence decay rate |
