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Existence of multiple solutions for semilinear elliptic equations in the annulus

โœ Scribed by An-min Mao; Xiu-ming Mo

Book ID
107500902
Publisher
SP Editorial Committee of Applied Mathematics - A Journal of Chinese Universities
Year
2009
Tongue
English
Weight
127 KB
Volume
24
Category
Article
ISSN
1005-1031

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๐Ÿ“œ SIMILAR VOLUMES

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.

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Existence and Multiplicity of Solutions of Semilinear Elliptic Equations
โœ Chun-Lei Tang; Xing-Ping Wu ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 87 KB

The existence and multiplicity results of solutions are obtained by the reduction method and the minimax methods for nonautonomous semilinear elliptic Dirichlet boundary value problem. Some well-known results are generalized. แฎŠ 2001 Aca- demic Press