Existence of blow-up solutions for quasilinear elliptic equation with nonlinear gradient term

• Fang Li ^[1] ; Zuodong Yang ^[2]
  1. [1] Nanjing Normal University School of Mathematical Sciences Institute of Mathematics
  2. [2] Nanjing Normal University School of Teacher Education
• Localización: Cubo: A Mathematical Journal, ISSN 0716-7776, ISSN-e 0719-0646, Vol. 16, Nº. 2, 2014, págs. 53-70
• Idioma: inglés
• DOI: 10.4067/S0719-06462014000200004
• Enlaces
  • Texto completo
• Resumen
  • español

    En este artículo consideramos la ecuación elíptica cuasilineal en un dominio acotado suave. Usando el método de sub y súper soluciones, estudiamos la existencia, comportamiento asintótico cerca de la frontera y la unicidad de soluciones explosivas para ecuaciones elípticas cuasilineales con término del gradiente nolineal.

  • English

    In this paper, we consider the quasilinear elliptic equation in a smooth bounded domain. By using the method of lower and upper solutions, we study the existence, asymptotic behavior near the boundary and uniqueness of the positive blow-up solutions for quasilinear elliptic equation with nonlinear gradient term.

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