Existence of Positive Solutions to a Superlinear Elliptic Problem
Date
2001-01-24
Authors
Alves, C. O.
Miyagaki, Olimpio H.
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
We study the existence of positive solutions to the semilinear elliptic problem
-∈2 ∆u + V(z)u = ƒ(u)
in ℝN (N ≥ 2), where the function ƒ has superlinear growth at infinity without any restriction from aboveon its growth.
Description
Keywords
Superlinear, Mountain pass, Schrodinger equation, Elliptic equation
Citation
Alves, C. O., & Miyagaki, O. H. (2001). Existence of positive solutions to a superlinear elliptic problem. <i>Electronic Journal of Differential Equations, 2001</i>(11), pp. 1-12.
Rights
Attribution 4.0 International