Ground states for logarithmic Schrödinger equations on locally finite graphs
In this paper, we study the following logarithmic Schrödinger equation:-Δ u+ a (x) u= u log u
2 in V, where Δ is the graph Laplacian, G=(V, E) is a connected locally finite graph, the …
2 in V, where Δ is the graph Laplacian, G=(V, E) is a connected locally finite graph, the …
A heat flow with sign-changing prescribed function on finite graphs
Y Liu, M Zhang - Journal of Mathematical Analysis and Applications, 2023 - Elsevier
In this paper, the authors consider a heat flow with sign-changing prescribed function on
finite graphs, which inspired by the works of Castéras (2015)[4], Lin and Yang (2021)[18] …
finite graphs, which inspired by the works of Castéras (2015)[4], Lin and Yang (2021)[18] …
Uniqueness in weighted spaces for the Schr\"odinger equation on infinite graphs
G Meglioli, F Punzo - arxiv preprint arxiv:2212.05928, 2022 - arxiv.org
arxiv:2212.05928v2 [math.AP] 4 Jan 2023 Page 1 arxiv:2212.05928v2 [math.AP] 4 Jan
2023 UNIQUENESS IN WEIGHTED lp SPACES FOR THE SCHRODINGER EQUATION ON …
2023 UNIQUENESS IN WEIGHTED lp SPACES FOR THE SCHRODINGER EQUATION ON …
On evolution PDEs on co-evolving graphs
A Esposito, L Mikolás - arxiv preprint arxiv:2310.10350, 2023 - arxiv.org
We provide a well-posedness theory for a class of nonlocal continuity equations on co-
evolving graphs. We describe the connection among vertices through an edge weight …
evolving graphs. We describe the connection among vertices through an edge weight …
Existence of solutions to the nonlinear Schrödinger equation on locally finite graphs
Z Qiu, Y Liu - Archiv der Mathematik, 2023 - Springer
Abstract Let G=(V, E) be a locally finite connected graph and Δ be the usual graph Laplacian
operator. According to Lin and Yang (Rev. Mat. Complut., 2022), using calculus of variations …
operator. According to Lin and Yang (Rev. Mat. Complut., 2022), using calculus of variations …
[HTML][HTML] On the uniqueness for the heat equation with density on infinite graphs
G Meglioli - Journal of Differential Equations, 2025 - Elsevier
We study the uniqueness of solutions to a class of heat equations with positive density
posed on infinite weighted graphs. We separately consider the case when the density is …
posed on infinite weighted graphs. We separately consider the case when the density is …
Asymptotic spectra of large (grid) graphs with a uniform local structure, Part II: Numerical applications
In the current work we are concerned with sequences of graphs having a grid geometry, with
a uniform local structure in a bounded domain Ω⊂ R d, d≥ 1. When Ω=[0, 1], such graphs …
a uniform local structure in a bounded domain Ω⊂ R d, d≥ 1. When Ω=[0, 1], such graphs …
Existence and uniqueness of solutions to Bogomol'nyi-Prased-Sommerfeld equations on graphs
Y Hu - arxiv preprint arxiv:2202.09546, 2022 - arxiv.org
arxiv:2202.09546v2 [math.AP] 7 Feb 2024 Page 1 arxiv:2202.09546v2 [math.AP] 7 Feb 2024
EXISTENCE AND UNIQUENESS OF SOLUTIONS TO BOGOMOL’NYI-PRASED-SOMMERFELD …
EXISTENCE AND UNIQUENESS OF SOLUTIONS TO BOGOMOL’NYI-PRASED-SOMMERFELD …
Topological degree for Kazdan–Warner equation in the negative case on finite graph
Y Liu, Y Yang - Annals of Global Analysis and Geometry, 2024 - Springer
Abstract Let G= V, E be a connected finite graph. We are concerned about the Kazdan–
Warner equation in the negative case on G, say-Δ u= h λ e 2 uc, where Δ is the graph …
Warner equation in the negative case on G, say-Δ u= h λ e 2 uc, where Δ is the graph …
A nonlinear characterization of stochastic completeness of graphs
M Schmidt, I Zimmermann - Mathematische Nachrichten, 2024 - Wiley Online Library
We study nonlinear Schrödinger operators on graphs. We construct minimal nonnegative
solutions to corresponding semilinear elliptic equations and use them to introduce the notion …
solutions to corresponding semilinear elliptic equations and use them to introduce the notion …