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On the Existence of Radial Solutions of a Nonlinear Elliptic BVP in an Annulus

โœ Scribed by Yuanji Cheng

Publisher
John Wiley and Sons
Year
1994
Tongue
English
Weight
878 KB
Volume
165
Category
Article
ISSN
0025-584X

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โœฆ Synopsis

Abstract

In this paper we study the radial solutions of quasilinear elliptic BVP:
on A, u satisfies the Robin boundary conditions (2) below, where A = {xโˆˆR^n^; a~1~ < |x| < a~2~}, a~2~ > a~1~ > 0, constants. Under the very general conditions, we prove that if f is superlinear at u = โˆž, then (*) admits infinitely many radial solutions, and that each of them has a different (finite) number of zeros.

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.