The Lazer McKenna conjecture for radial solutions in the R<sup><small>N</small></sup> ball
nonlinearity contains the first $k$ eigenvalues of the linear part and a certain parameter is large, we establish the existence of 2k radial solutions to a semilinear boundary value problem. This proves the Lazer McKenna conjecture for radial solutions. Our results supplement those in [5], where the...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Texas State University
1993-10-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/1993/07/abstr.html |
| Summary: | nonlinearity contains the first $k$ eigenvalues of the linear part and a certain parameter is large, we establish the existence of 2k radial solutions to a semilinear boundary value problem. This proves the Lazer McKenna conjecture for radial solutions. Our results supplement those in [5], where the existence of $k+1$ solutions was proven. |
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| ISSN: | 1072-6691 |