一类拟线性椭圆方程零点的临界群
Critical Groups of Zeros for a Quasilinear Elliptic Equation
DOI: 10.12677/AAM.2018.77101, PDF,    科研立项经费支持
作者: 王振婷*, 段明双, 李微微, 王亚琼：北方工业大学理学院，北京
关键词: 拟线性椭圆方程；共振；Morse理论；Quasilinear Elliptic Equations； Resonance； Morse Theory
摘要: 本文使用Morse理论来研究一类拟线性椭圆方程，与已有的结果相比，我们内容包含两个新的方面：一是在非线性项共振时证明了零点的孤立性，二是在弱的条件下计算出了零点的临界群。
Abstract: In this paper, we will study a class of quasilinear elliptic equations by Morse theory. Compared with the existing results, our new contents include two aspects: we first get the isolation of the zero when the nonlinear is resonant. Secondly, the critical groups for the zero are obtained under the weak condition.
文章引用：王振婷, 段明双, 李微微, 王亚琼. 一类拟线性椭圆方程零点的临界群[J]. 应用数学进展, 2018, 7(7): 842-847. https://doi.org/10.12677/AAM.2018.77101

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