The Lazer Mckenna Conjecture for Radial Solutions in the R(N) Ball

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dc.contributor.authorCastro, Alfonso
dc.contributor.authorGadam, Sudhasree
dc.date.accessioned2018-07-16T14:58:41Z
dc.date.available2018-07-16T14:58:41Z
dc.date.issued1993-10-30
dc.descriptionPartially supported by NSF grant DMS-9246380.
dc.description.abstractWhen the range of the derivative of the 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 were proven.
dc.description.departmentMathematics
dc.formatText
dc.format.extent6 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationCastro, A., & Gadam, S. (1993). The Lazer Mckenna Conjecture for Radial Solutions in the R(N) Ball. <i>Electronic Journal of Differential Equations, 1993</i>(07), pp. 1-6.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/7312
dc.language.isoen
dc.publisherSouthwest Texas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 1993, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectLazer-McKenna conjecture
dc.subjectRadial solutions
dc.subjectJumping nonlinearities
dc.titleThe Lazer Mckenna Conjecture for Radial Solutions in the R(N) Ball
dc.typeArticle

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