Naito, Manabu A note on bounded positive entire solutions of semilinear elliptic equations. (English) Zbl 0555.35044 Hiroshima Math. J. 14, 211-214 (1984). The existence of a bounded entire solution, which is positive, is proved for the problem \(\Delta u+a(x)f(u)=0\) under suitable conditions. Reviewer: M.Biroli Cited in 37 Documents MSC: 35J60 Nonlinear elliptic equations 35B35 Stability in context of PDEs 35A05 General existence and uniqueness theorems (PDE) (MSC2000) 35B05 Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs 35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation Keywords:positive entire solutions; semilinear elliptic equations; bounded entire solution PDF BibTeX XML Cite \textit{M. Naito}, Hiroshima Math. J. 14, 211--214 (1984; Zbl 0555.35044)