Aslanov, Afgan2025-03-262025-03-2620230026-92551436-508110.1007/s00605-022-01761-72-s2.0-85137520834https://doi.org/10.1007/s00605-022-01761-7https://hdl.handle.net/20.500.14704/1015We consider the existence of a positive (generally unbounded) solution to the semilinear Schrodinger equation in a two-dimensional exterior domain. Our method relies on the comparison method, that is, the technique of super/sub-solutions. An application to Emden-Fowler equation is also presented.eninfo:eu-repo/semantics/closedAccessEmden-Fowler equation; Schrodinger equation; Second order nonlinear differential equations; Fixed point theoryArticle9734Q2963201WOS:000849135600002Q2