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math.AP2018
Liouville type theorems, a priori estimates and existence of solutions for critical order Hardy-Hénon equations in
Wenxiong Chen, Wei Dai, Guolin Qin
In this paper, we consider the critical order Hardy-Hénon equations \begin{equation*} (-Δ)^{\frac{n}{2}}u(x)=\frac{u^{p}(x)}{|x|^{a}}, \,\,\,\,\,\,\,\,\,\,\, x \, \in \,\, \mathbb{…
math.SP2018
On graph Laplacian eigenvectors with components in {-1,0,1}
J-G. Caputo, I. Khames, A. Knippel
We characterize all graphs for which there are eigenvectors of the graph Laplacian having all their components in {-1,+1} or {-1,0,+ 1}. Graphs having eigenvectors with components…
nlin.PS2018
Localized solutions of nonlinear network wave equations
J. G. Caputo, I. Khames, A. Knippel +1
We study localized solutions for the nonlinear graph wave equation on finite arbitrary networks. Assuming a large amplitude localized initial condition on one node of the graph, we…