In this paper, we deal with the nonlocal elliptic problem with
inhomogeneous strong Allee
effect-M@!"@W1p|@?u|^pdx@D"pu=@lf(x,u),in@W,u=0,on@?@W,where the nonlocal
coefficient M@!"@W1p|@?u|^pdx is a continuous function of @!"@W12|@?u|^2dx.
By means of variational approach, we prove that the problem has at least
two positive solutions for large @l under suitable hypotheses about
nonlinearity. We also prove some nonexistence results.
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