Ground states of a Kirchhoff equation with the potential on the lattice graphs
<p>In this paper, we study the nonlinear Kirchhoff equation</p> <p class="disp_formula">$ \begin{align*} -\Big(a+b\int_{\mathbb{Z}^{3}}|\nabla u|^{2} d \mu\Big)\Delta u+V(x)u = f(u) \end{align*} $</p> <p>on lattice graph $ \mathbb{Z}^3 $, where $ a, b &a...
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Format: | Article |
Language: | English |
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AIMS Press
2023-11-01
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Series: | Communications in Analysis and Mechanics |
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Online Access: | https://www.aimspress.com/article/doi/10.3934/cam.2023038?viewType=HTML |