论文标题
cartan-hadamard歧管上的schrödinger方程，具有振荡非线性
Schrödinger equation on Cartan-Hadamard manifolds with oscillating nonlinearities
论文作者
论文摘要
我们研究方程$-Δ_Gw+w =λα（σ）f（w）$上的$ d $ - 二维均质的cartan-hadamard歧管$ \ mathcal {m \ natcal {m} $，带有$ d \ geq 3 $。在不使用拓扑指数理论的情况下，我们证明了一类非线性$ f $的无限解决方案的存在，这些解决方案$ f $在零或无穷大处具有振荡行为。
We study the equation $-Δ_g w+w=λα(σ) f(w)$ on a $d$-dimensional homogeneous Cartan-Hadamard Manifold $\mathcal{M}$ with $d \geq 3$. Without using the theory of topological indices, we prove the existence of infinitely many solutions for a class of nonlinearities $f$ which have an oscillating behavior either at zero or at infinity.
