半线性椭圆方程正解的存在性和唯一性

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摘要本文致力于研究半线性椭圆方程正解的存在性,唯一性和非退化性;给出了保证我们所考虑的问题存在正解的一个充要条件;证明了如果某类半线性椭圆问题的正解是唯一的和非退化的,则对问题中的微分算子做小扰动后其正解也是唯一的和非退化的．作为推论,证明了正解的唯一性在区域的小扰动下是不变的．

作者戴求亿付玉霞顾永耕

机构地区湖南师范大学数学系湖南大学应用数学系

出处《中国科学（A辑）》 CSCD 北大核心 2007年第5期559-572,共14页 Science in China(Series A)

基金国家自然科学基金资助项目(批准号:10671064 10171029)

关键词半线性椭圆方程正解存在性唯一性非退化性

参考文献9

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中国科学（A辑）

2007年第5期

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