非线性SchroO¨dinger-Kirchhoff型方程基态解的存在性
Existence of Ground States Solution of Nonlinear Schro?dinger-Kirchhoff-Type Equation
摘要: 本文利用Nehari流形的方法和Lions引理，将非线性Schrödinger-Kirchhoff型方程的基态转化为相应能量函的临界点，结合山路引理，证明了该类方程在一定条件下基态解的存在性。
Abstract: In this paper, by using the method of Nehari manifold and Lions lemma, the solutions of nonlinear Schrödinger-Kirchhoff-type equations are transformed into the critical points of the corresponding energy functional, combined with the mountain pass lemma to prove the existence of ground state solution of this kind of equations under certain conditions.
文章引用：李伟丹, 魏公明. 非线性SchroO¨dinger-Kirchhoff型方程基态解的存在性[J]. 理论数学, 2020, 10(4): 330-338. https://doi.org/10.12677/PM.2020.104042

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