The Lazer McKenna conjecture for radial solutions in the R<sup><small>N</small></sup> ball

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...

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Bibliographic Details
Main Authors: Alfonso Castro, Sudhasree Gadam
Format: Article
Language:English
Published: Texas State University 1993-10-01
Series:Electronic Journal of Differential Equations
Subjects:
Lazer-McKenna conjecture
radial solutions
Online Access:http://ejde.math.txstate.edu/Volumes/1993/07/abstr.html
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spelling doaj-fa78b04dc55b4c30ade43fb2ff98e9222020-11-24T23:14:47ZengTexas State UniversityElectronic Journal of Differential Equations1072-66911993-10-0119930716The Lazer McKenna conjecture for radial solutions in the R<sup><small>N</small></sup> ballAlfonso CastroSudhasree Gadamnonlinearity 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. http://ejde.math.txstate.edu/Volumes/1993/07/abstr.htmlLazer-McKenna conjectureradial solutions
collection DOAJ
language English
format Article
sources DOAJ
author Alfonso Castro
Sudhasree Gadam
spellingShingle Alfonso Castro
Sudhasree Gadam
The Lazer McKenna conjecture for radial solutions in the R<sup><small>N</small></sup> ball
Electronic Journal of Differential Equations
Lazer-McKenna conjecture
radial solutions
author_facet Alfonso Castro
Sudhasree Gadam
author_sort Alfonso Castro
title The Lazer McKenna conjecture for radial solutions in the R<sup><small>N</small></sup> ball
title_short The Lazer McKenna conjecture for radial solutions in the R<sup><small>N</small></sup> ball
title_full The Lazer McKenna conjecture for radial solutions in the R<sup><small>N</small></sup> ball
title_fullStr The Lazer McKenna conjecture for radial solutions in the R<sup><small>N</small></sup> ball
title_full_unstemmed The Lazer McKenna conjecture for radial solutions in the R<sup><small>N</small></sup> ball
title_sort lazer mckenna conjecture for radial solutions in the r<sup><small>n</small></sup> ball
publisher Texas State University
series Electronic Journal of Differential Equations
issn 1072-6691
publishDate 1993-10-01
description 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.
topic Lazer-McKenna conjecture
radial solutions
url http://ejde.math.txstate.edu/Volumes/1993/07/abstr.html
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