The Toda system and multiple-end solutions of autonomous planar elliptic problems

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dc.creatordel Pino, Manuel
dc.creatorKowalczyk, Michał
dc.creatorPacard, Frank
dc.creatorWei, Juncheng
dc.date2007-10-02
dc.date.accessioned2026-07-07T08:33:40Z
dc.date.available2026-07-07T08:33:40Z
dc.descriptionWe construct a new class of positive solutions for a classical semilinear elliptic problem in the plane which arise for instance as the standing-wave problem for the standard nonlinear Schrödinger equation or in nonlinear models in Turing's theory biological theory of pattern formation such as the Gray-Scott or Gierer-Meinhardt systems. The solutions we construct have the property that their energy over a ball of radius R grows linearly with R as R tends to infinity. These solutions are strongly related to the solutions of a Toda system.
dc.identifierhttps://arxiv.org/abs/0710.0640
dc.identifierhttp://arxiv.org/abs/0710.0640
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/139211
dc.subjectAnalysis of PDEs
dc.subject35J60
dc.titleThe Toda system and multiple-end solutions of autonomous planar elliptic problems
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