Covei, Dragos-Patru2021-07-132021-07-132005-12-05Covei, D. P. (2005). Existence and uniqueness of positive solutions to a quasilinear elliptic problem in ℝN. <i>Electronic Journal of Differential Equations, 2005</i>(139), pp. 1-15.1072-6691https://hdl.handle.net/10877/13864We prove the existence of a unique positive solution to the problem -Δpu = α(x)ƒ(u) in ℝN, N > 2. Our result extended previous works by Cirstea-Radulescu and Dinu, while the proofs are based on two theorems on bounded domains, due to Diaz-Saà and Goncalves-Santos.Text17 pages1 file (.pdf)enAttribution 4.0 InternationalQuasilinear elliptic problemUniquenessExistenceNonexistenceLower-upper solutionsArticle