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.
Liouville theorems for ancient solutions of subexponential growth to the heat equation on graphs.Proceedings of the American Mathematical Society, 2025, 153(02): 865-877
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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.