REVIEW 1 cited by
p-Laplacian equations with general Choquard nonlinearity on lattice graphs
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
abstract
In this paper, we study the following $p$-Laplacian equation $$ -\Delta_{p} u+h(x)|u|^{p-2} u=\left(R_{\alpha} *F(u)\right)f(u) $$ on lattice graphs $\mathbb{Z}^N$, where $p\geq 2$, $\alpha \in(0,N)$ are constants and $R_{\alpha}$ is the Green's function of the discrete fractional Laplacian that behaves as the Riesz potential. Under different assumptions on potential function $h$, we prove the existence of ground state solutions respectively by the methods of Nehari manifold.
Forward citations
Cited by 1 Pith paper
-
Positive solutions to fractional $p$-Laplacian Choquard equation on lattice graphs
Existence of positive and ground state solutions for the discrete fractional p-Laplacian Choquard equation on Z^d is established.
Discussion (0). Continue with ORCID to comment.