The structure of the solutions to semilinear equations at a critical exponent

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dc.creatorEdelson, Allan L.
dc.date1999-01-21
dc.date.accessioned2026-07-07T05:27:36Z
dc.date.available2026-07-07T05:27:36Z
dc.descriptionThis paper is concerned with the structure of the solutions to subcritical elliptic equations related to the Matukuma equation. In certain cases the complete structure of the solution set is known, and is comparable to that of the original Matukuma equation. Here we derive sufficient conditions for a more complicated solution set consisting of; (i) crossing solutions for small initial conditions and large initial conditions; (ii) at least one open interval of slowly decaying solutions; and (iii) at least two rapidly decaying solutions. As a consequence we obtain multiplicity results for rapidly decaying, or minimal solutions.
dc.identifierhttps://arxiv.org/abs/math/9901089
dc.identifierhttp://arxiv.org/abs/math/9901089
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77981
dc.subjectAnalysis of PDEs
dc.subject35B05
dc.titleThe structure of the solutions to semilinear equations at a critical exponent
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