Radial Solutions for a Dirichlet Problem in a Ball

D. G. Costa () and D. G. De Figueiredo
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D. G. Costa: Universidade de Brasilia, Departamento de Matematica
D. G. De Figueiredo: Universidade de Brasilia, Departamento de Matematica

A chapter in Djairo G. de Figueiredo - Selected Papers, 1985, pp 189-198 from Springer

Abstract: Abstract The Ambrosetti-Prodi boundary value problem with an asymptotically linear nonlinearity is considered. Under general conditions on the nonlinearity it is shown that there exist positive and negative solutions. In the case when the domain is a ball in Rn and the nonlinearity “crosses” the first n eigenvalues, corresponding to radial eigenfunctions, it is proved that there are at least n + 1 radial solution.

Date: 1985
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-02856-9_14

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DOI: 10.1007/978-3-319-02856-9_14

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