On the Existence of Positive Decaying Entire Solutions for a Class of Sublinear Elliptic Equations

Furusho, Yasuhiro ; Kusano, Takaŝi

Canadian journal of mathematics, Tome 40 (1988) no. 5, pp. 1156-1173

Résumé

In recent years there has been a growing interest in the existence and asymptotic behavior of entire solutions for second order nonlinear elliptic equations. By an entire solution we mean a solution of the elliptic equation under consideration which is guaranteed to exist in the whole Euclidean N-space R N , N ≧ 2. For standard results on the subject the reader is referred to the papers [2-7, 9-21].The study of entire solutions, which at an early stage was restricted to simple equations of the form Δu + f(x, u) = 0, x ∊ R N, Δ being the N-dimensional Laplacian, has now been extended and generalized to elliptic equations of the type A where

Détail

DOI : 10.4153/CJM-1988-048-1

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