局部有限图上渐近三次基尔霍夫方程的最小能量变号解
Least energy sign-changing solutions for asymptotically cubic Kirchhoff equations on locally finite graphs
- Kunming University of Science and Technology（昆明理工大学）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
本文在局部有限图上证明了一类渐近三次基尔霍夫方程最小能量变号解与基态解的存在性，并指出变号解最小能量严格大于基态能量的两倍。
AI中文摘要：
我们在局部有限图$G=(V,E)$上研究了一类带Dirichlet边界条件的渐近三次基尔霍夫方程，获得了最小能量变号解和基态解的存在性结果，并证明了变号解的最小能量严格大于基态能量的两倍。
英文摘要：
We obtain the existence results of least energy sign-changing solutions and ground state solutions for a class of asymptotically cubic Kirchhoff equations with Dirichlet boundary value on a locally finite graph $G=(V,E)$, and obtain the least energy of sign-changing solutions is strictly larger than twice of the ground state energy.
