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Least energy sign-changing solutions for asymptotically cubic Kirchhoff equations on locally finite graphs
Abstract
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.
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BibTeX
@misc{an2026least,
title = {{Least energy sign-changing solutions for asymptotically cubic Kirchhoff equations on locally finite graphs}},
author = {Shuai An and Junping Xie and Xingyong Zhang},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.12526},
eprint = {2609.12526},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.12526},
}
RIS
TY - UNPB
TI - Least energy sign-changing solutions for asymptotically cubic Kirchhoff equations on locally finite graphs
AU - Shuai An
AU - Junping Xie
AU - Xingyong Zhang
PY - 2026
DA - 2026/09/11
PB - arXiv
DO - 10.48550/arxiv.2609.12526
UR - https://arxiv.org/abs/2609.12526
AB - 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.
ER -