| Infinitely Many Radially Symmetric Solutions to Superlinear Boundary Value Problems in Annular Domains |
| Received:May 09, 1995 |
| Key Words:
boundary value problems radial solutions shooting methods annular domains.
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| Fund Project:Supported by the Youth Foundations of National Education Committee and the Committee on Science and Technology of Henan Province |
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| Abstract: |
| In this paper we show that a class of superlinear boundary value problems in annular domains have infinitely many radially symmetric solutions. The result is obtained without other restrictions on the growth of the nonlinearities. Our methods rely on the energy analysis and the phase plane angle analysis of the solutions for the associated ordinary differential equations. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.1998.02.007 |
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