| Minimax原理在完全非线性椭圆型方程中的应用 |
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| 引用本文： | 陈才生.Minimax原理在完全非线性椭圆型方程中的应用[J].河海大学学报(自然科学版),1997,25(4):19-25. |
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| 作者姓名： | 陈才生 |
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| 作者单位： | 河海大学数学物理系 |
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| 摘 要： | 利用临界点理论中的极小极大原理，研究了Ｒ＾ｎ上一类完全非线性椭圆型方程的ｇｒｏｕｎｄｓｔａｔｅ解和结点解的存在性问题。通过构造适当的Ｂａｎａｃｈ空间，给出了ｇｒｏｕｎｄｓｔａｔｅ解和结点解存在的充分条件，证明了这两类解都是Ｃ＾２解。
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| 关 键 词： | 非线性 椭圆型方程 径向解 Minimax原理 |
| 修稿时间： | 2005/1/31 0:00:00 |
Applications of Minimax Principle in Fully Nonlinear Elliptic Equations |
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| Chen,Caisheng.Applications of Minimax Principle in Fully Nonlinear Elliptic Equations[J].Journal of Hohai University (Natural Sciences ),1997,25(4):19-25. |
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| Authors: | Chen Caisheng |
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| Abstract: | By use of the minimax principle in critical point theory, the existence of groundstate solutions and nodal solutions of fully nonlinear elliptic equations in R n is investigated . Some sufficient conditions to guarantee the existence of ground state solutions and infinitely many nodal solutions are given. Moreover, it is shown that these solution are twice continuously differentiable in R n . |
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| Keywords: | fully nonlinear elliptic equation radial solution minimax principle |
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