Existence and nonexistence of positive solutions for nonlocal problems with inhomogeneous strong Allee effect

摘要

In this paper, we deal with the nonlocal elliptic problem with inhomogeneous strong Allee effectwhere the nonlocal coefficient is a continuous function of . By means of variational approach, we prove that the problem has at least two positive solutions for large λ under suitable hypotheses about nonlinearity. We also prove some nonexistence results.