๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Existence of Many Positive Nonradial Solutions for Nonlinear Elliptic Equations on an Annulus

โœ Scribed by S.S. Lin

Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
314 KB
Volume
103
Category
Article
ISSN
0022-0396

No coin nor oath required. For personal study only.

๐Ÿ“œ SIMILAR VOLUMES

Existence of Many Nonequivalent Nonradia
Existence of Many Nonequivalent Nonradial Positive Solutions of Semilinear Elliptic Equations on Three-Dimensional Annuli
โœ Jaeyoung Byeon ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 428 KB

We consider a semilinear elliptic equation, 2u+u p =0 on 0 R #[x # R n |R&1< |x|2. We prove that, when the space dimension n is three, the number of nonequivalent nonradial positive solutions of the equation goes to as R ร„ . The same result has been known for n=2 and n 4; in those cases, the result

On the Existence of Positive Solutions f
On the Existence of Positive Solutions for Semilinear Elliptic Equations in the Annulus
โœ H.Y. Wang ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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.

On the Existence of Positive Solutions o
On the Existence of Positive Solutions of a Singular Nonlinear Differential Equation
โœ S. Masmoudi; N. Yazidi ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 112 KB

We consider the nonlinear singular differential equation where ยต and ฯƒ are two positive Radon measures on 0 ฯ‰ not charging points. For a regular function f and under some hypotheses on A, we prove the existence of an infinite number of nonnegative solutions. Our approach is based on the use of the