The existence of positive solution to some asymptotically linear elliptic equations in exterior domains

• Autores: G. Li, G.-F. Zheng
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 22, Nº 2, 2006, págs. 559-590
• Idioma: inglés
• DOI: 10.4171/rmi/466
• Títulos paralelos:
  • Existencia de solución positiva para algunas ecuaciones elípticas asintóticamente lineales en dominios exteriores.
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• Resumen

  • In this paper, we are concerned with the asymptotically linear elliptic problem -?u + ?0u = f(u), u Î H01(O) in an exterior domain O = RnO (N = 3) with O a smooth bounded and star-shaped open set, and limt?+8 f(t)/t = l, 0 < l < +8. Using a precise deformation lemma and algebraic topology argument, we prove under our assumptions that the problem possesses at least one positive solution