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

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 g...

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Detalles Bibliográficos
Autores principales: Li,Fang, Yang,Zuodong
Lenguaje:English
Publicado: Universidad de La Frontera. Departamento de Matemática y Estadística. 2014
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Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462014000200004
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Sumario: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.