On the multiplicity of solutions of a nonlinear elliptic problem on Riemannian manifolds
On the multiplicity of solutions of a nonlinear elliptic problem on Riemannian manifolds
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DOI：
10.1016/j.jfa.2007.07.010
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发表时间：
2007-11
影响因子：
1.7
通讯作者：
V. Benci;C. Bonanno;A. Micheletti
中科院分区：
文献类型：
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作者：
V. Benci;C. Bonanno;A. Micheletti
我们证明了黎曼流形上非线性椭圆型问题的解的个数取决于流形的拓扑性质。我们特别考虑流形的Lusternik-Schnirelmann范畴和poincar<s:1>多项式。
We show that the number of solutions of a nonlinear elliptic problem on a Riemannian manifold depends on the topological properties of the manifold. In particular we consider the Lusternik–Schnirelmann category and the Poincaré polynomial of the manifold.