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Conjecture on critical and subcritical solutions for discrete p-biharmonic equations and Lane–Emden systems
Let $G$ be a graph of polynomial growth with homogeneous dimension $N\geq 3$ . For the discrete $p$ -biharmonic equation … where $1<p<N/2$ , and for the discrete Lane–Emden system … w…
Conjectureopendiscrete-laplacian graphs-of-polynomial-growth sobolev-inequalitiesarXiv posted 2 days ago

Conjecture on critical and subcritical solutions for discrete p-biharmonic equations and Lane–Emden systems