Positive solutions, positive radial solutions and uniqueness results for some nonlocal elliptic problems
摘要
In this paper, we prove existence of a positive solution to a one-dimensional nonlocal elliptic problem and existence of a positive radial solution to a multidimensional nonlocal elliptic problem under weak conditions on the reaction terms and the diffusion coefficients. We use Krasnoselskii’s fixed point theorem. Uniqueness results are also given.