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

Fang Li; Zuodong Yang

doi:10.4067/S0719-06462014000200004

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

Authors

Fang Li Institute of Mathematics, School of Mathematical Sciences, Nanjing Normal University, Jiangsu Nanjing 210023, China.
Zuodong Yang School of Teacher Education, Nanjing Normal University, Jiangsu Nanjing 210097, China.

DOI:

https://doi.org/10.4067/S0719-06462014000200004

Keywords:

Quasilinear elliptic equation, Blow-up solutions, Asymptotic behavior of solutions, Lower and upper solutions

Abstract

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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Published

2014-06-01

How to Cite

[1]

F. Li and Z. Yang, “Existence of blow-up solutions for quasilinear elliptic equation with nonlinear gradient term”., CUBO, vol. 16, no. 2, pp. 53–69, Jun. 2014.