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Infinitely many solutions for three quasilinear Laplacian systems on weighted graphs

Infinitely many solutions for three quasilinear Laplacian systems on weighted graphs

Abstract We investigate a generalized poly-Laplacian system with a parameter on weighted finite graphs, a generalized poly-Laplacian system with a parameter and Dirichlet boundary value on weighted locally finite graphs, and a $(p,q)$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mo>(</mml:mo> <mml:mi>p</mml:mi> <mml:mo>,</mml:mo> <mml:mi>q</mml:mi> <mml:mo>)</mml:mo> </mml:math> -Laplacian system with a parameter on weighted locally finite …