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A Berestycki–Lions type result for a class of problems involving the 1-Laplacian operator

    https://doi.org/10.1142/S021919972150022XCited by:5 (Source: Crossref)

    In this work we prove a Berestycki–Lions type result for the following class of problems:

    Δ1u+u|u|=f(u)inN,uBV(N),
    where Δ1 is the 1-Laplacian operator and f is a continuous function satisfying some technical conditions. Here we apply variational methods by using p-Laplacian problems and taking the limit when p1+.

    AMSC: 35J60, 35A15, 49J52
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