Existence of solutions to Chern-Simons-Higgs equations on graphs

DOI10.1007/s00526-022-02238-zzbMath1491.35238arXiv2205.07775OpenAlexW4280555543WikidataQ114017900 ScholiaQ114017900MaRDI QIDQ2671425

Jiamin Sun, Song Bo Hou

Publication date: 3 June 2022

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2205.07775

zbMATH Keywords

existencegeneralized Chern-Simons-Higgs equation on graphs

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

Related Items (10)

Nonexistence of global solutions for a class of nonlinear parabolic equations on graphs ⋮ Existence theorems for a generalized Chern–Simons equation on finite graphs ⋮ Ground states for logarithmic Schrödinger equations on locally finite graphs ⋮ A heat flow with sign-changing prescribed function on finite graphs ⋮ A relativistic abelian Chern-Simons model on graph ⋮ Existence of solutions for nonlinear biharmonic Choquard equations on weighted lattice graphs ⋮ Topological degree for Chern-Simons Higgs models on finite graphs ⋮ Existence of solutions to the nonlinear Schrödinger equation on locally finite graphs ⋮ Unnamed Item ⋮ Multiple solutions for a generalized Chern-Simons equation on graphs

Cites Work

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