𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Nonexistence of positive solutions and oscillation criteria for second-order semilinear elliptic inequalities

✍ Scribed by Hiroyuki Usami

Publisher
Springer
Year
1995
Tongue
English
Weight
918 KB
Volume
130
Category
Article
ISSN
0003-9527

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Existence and Nonexistence of Entire Pos
Existence and Nonexistence of Entire Positive Solutions of Semilinear Elliptic Systems
✍ Xuefeng Wang; Aihua W. Wood πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 80 KB

We show that entire positive solutions exist for the semilinear elliptic system u = p x v Ξ± , v = q x u Ξ² on R N , N β‰₯ 3, for positive Ξ± and Ξ², provided that the nonnegative functions p and q are continuous and satisfy appropriate decay conditions at infinity. We also show that entire solutions fail

Nonexistence of positive solutions for 2
Nonexistence of positive solutions for 2pth order integro-differential inequalities
✍ R.P. Agarwal; Fu-Hsiang Wong; Shiueh-Ling Yu πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 412 KB

In this paper, we shall show that under suitable conditions on f and K, the inequalities -xzp + s cc eXSK(s) ds > 0, forallX>O, (p=O,1,2 ,...) 0 (I,) imply that the integro-differential inequalities (-1)2P+1y(2')(t) + s,' f(t -s, y(s)) ds 5 0, on [O,co), (p=O,1,2 ,..,) (B,) have no positive solution