Existence of ground states is shown for a discrete p-Laplacian system with logarithmic coupling on graphs via the Nehari manifold and mountain pass theorem.
Existence and convergence of solutions for nonlinear biharmonic equa- tions on graphs.Journal of Differential Equations, 2020, 268(7): 3936-3961
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Ground state solutions for p-Laplacian system with logarithmic coupling terms on locally finite graphs
Existence of ground states is shown for a discrete p-Laplacian system with logarithmic coupling on graphs via the Nehari manifold and mountain pass theorem.