Nonnegative Radial Solutions of a Weighted Elliptic Problem in Exterior Domains

ABSTRACT Let be the unit ball in . The structure of nonnegative radial solutions of a weighted elliptic problem in with Neumann or Robin boundary conditions on is studied. It is seen that the problem admits a unique positive radial fast‐decay solution for the supercritical case and the problem does not admit nontrivial nonnegative radial solution for the critical case. It is expected that the problem does not admit nontrivial nonnegative (radial and non‐radial) solutions for the subcritical and critical cases.