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Applicable Analysis
An International Journal
Volume 86, 2007 - Issue 12
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Original Articles

Existence and asymptotic behavior of entire blow-up solutions for quasilinear elliptic equation

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Pages 1455-1461 | Received 17 May 2007, Accepted 01 Aug 2007, Published online: 21 Nov 2007
 

Abstract

In this article, we discuss the blow-up problem of entire solutions of a class of second-order quasilinear elliptic equation Δ p u ≡ div(|∇u| p−2u) = ρ(x)f(u), x ∈ R N . No monotonicity condition is assumed upon f(u). Our method used to get the existence of the solution is based on sub-and supersolutions techniques.

2000 AMS Subject Classifications: :

Acknowledgements

This work was partly supported by the Fundamental Research Fund for Physics and Mathematics of Lanzhou University. The authors are also grateful to the reviewer for comments and suggestions which contributed to improve this article.

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