Existence and uniqueness of positive solutions to a quasilinear elliptic problem in ℝN
Texas State University-San Marcos, Department of Mathematics
We 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.
Quasilinear elliptic problem, Uniqueness, Existence, Nonexistence, Lower-upper solutions
Covei, 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.