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.
The existence and convergence of solutions for the nonlinear Choquard equations on groups of polynomial growth.Journal of Partial Differential Equations, 2025, 38(2): 227-250
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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.