Existencia de Soluciones Radiales para Problemas Semilineales Elípticos Indefinidos

• Calahorrano, Marco ^[1] ; Cevallos, Israel ^[1]
  1. [1] Escuela Politécnica Nacional

     Escuela Politécnica Nacional

     Quito, Ecuador

     
• Localización: Selecciones Matemáticas, ISSN-e 2411-1783, Vol. 7, Nº. 1, 2020 (Ejemplar dedicado a: January - July), págs. 42-51
• Idioma: español
• DOI: 10.17268/sel.mat.2020.01.05
• Títulos paralelos:
  • Existence of radial solutions for indefinite semilinear elliptic equations
• Enlaces
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• Resumen
  • español

    Se estudia la existencia de soluciones radiales de problemas semilineales elípticos indefinidos sobre la bola unidad de Rn (n>=3) con condiciones de frontera de Dirichlet, cuyo término no lineal es de la formalamda.m(|x|)f(u) donde m(|.|) es radialmente simétrica, discontinua y cambia de signo. Este estudio se realiza utilizando técnicas variacionales y en especial el “Lema del Paso de Montaña” de Ambrosetti-Rabinowitz.

  • English

    We study the existence of radial solutions of indefinite semilinear elliptic equations in the unit ball in Rn (n>=3) with Dirichlet boundary conditions, whose nonlinear term has the form lamda.m(|x|)f(u) where m(|.|) is radially symmetric, discontinuous and changes sign. This study is realized using variational tecniques and especially the Ambrosetti-Rabinowitz’s “Mountain Pass Lemma”.

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