Singular limits in a Liouville-type equation with singular sources

• Autores: Chunyi Zhao
• Localización: Houston journal of mathematics, ISSN 0362-1588, Vol. 34, Nº 2, 2008, págs. 601-622
• Idioma: inglés
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• Resumen

  • This paper considers the existence of multiple-peak solutions for a Liouville-type equation with singular sources under homogeneous Dirichlet conditions. In the paper, by using the so-called "localized energy mathod"-a combination of Liapunov-Schmidt reduction method and variational techniques, we construct a solution which blows up at singular sources and serveral other points in the domain..