𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Existence and Uniqueness of Positive Solutions to a Semilinear Elliptic Problem in RN

✍ Scribed by Florica-Corina Şt. Cı̂rstea; Vicenţiu D. Rădulescu

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
76 KB
Volume
229
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Existence and Nonexistence of Entire Pos
Existence and Nonexistence of Entire Positive Solutions of Semilinear Elliptic Systems
✍ Xuefeng Wang; Aihua W. Wood 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 80 KB

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

On the Existence of Positive Solutions f
On the Existence of Positive Solutions for Semilinear Elliptic Equations in the Annulus
✍ H.Y. Wang 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 180 KB

We study the existence of positive radial solutions of \(A u+g(|x|) f(u)=0\) in annuli with Dirichlet (Dirichlet/Neumann) boundary conditions. We prove that the problems have positive radial solutions on any annulus if \(f\) is sublinear at 0 and \(\infty . \quad C 1994\) Academic Press, Inc.

A Remark on the Existence of Entire Solu
A Remark on the Existence of Entire Solutions of a Singular Semilinear Elliptic Problem
✍ Zhijun Zhang 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 118 KB

It is proved that the singular semilinear elliptic equation y⌬u s p x g u , Ž . n Ž . 1 ŽŽ . Ž .. lim g s s qϱ, and g g C 0, ϱ , 0, ϱ which is s ª 0 Ž . 2q␣ Ž n . strictly decreasing in 0, ϱ , has a unique positive C R solution that decays to l o c ϱ Ž . Ž . Ž . zero near ϱ provided H t t dt -ϱ, w