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

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DOI:

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

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.

Keywords

Quasilinear elliptic equation , Blow-up solutions , Asymptotic behavior of solutions , Lower and upper solutions
  • 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.
  • Pages: 53–69
  • Date Published: 2014-06-01
  • Vol. 16 No. 2 (2014): CUBO, A Mathematical Journal

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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.

Issue

Vol. 16 No. 2 (2014): CUBO, A Mathematical Journal

Section

Articles