We establish the existence of radial solutions to the p-Laplacian equation ∆p u + f(u)=0 in RN, where f behaves like |u|q-1 u when u is large and f(u) < 0 for small positive u. We show that for each nonnegative integer n, there is a localized solution u which has exactly n zeros. Also, we look for radial solutions of a superlinear Dirichlet problem in a ball. We show that for each nonnegative integer n, there is a solution u which has exactly n zeros. Here we give an alternate proof to that which was given by Castro and Kurepa.
| Identifer | oai:union.ndltd.org:unt.edu/info:ark/67531/metadc6059 |
| Date | 05 1900 |
| Creators | Pudipeddi, Sridevi |
| Contributors | Iaia, Joseph, Neuberger, John, Monticino, Michael G. |
| Publisher | University of North Texas |
| Source Sets | University of North Texas |
| Language | English |
| Detected Language | English |
| Type | Thesis or Dissertation |
| Format | Text |
| Rights | Public, Copyright, Pudipeddi, Sridevi, Copyright is held by the author, unless otherwise noted. All rights reserved. |
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