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Applicable Analysis
An International Journal
Volume 90, 2011 - Issue 9
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Original Articles

Boundary behaviour of explosive solution to quasilinear elliptic problems with nonlinear gradient terms

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Pages 1391-1404 | Received 27 Jun 2010, Accepted 30 Aug 2010, Published online: 24 Feb 2011
 

Abstract

Based on the Karamata regular variation theory and the method of explosive sub and supersolution, the boundary behaviour of explosive solutions to the quasilinear elliptic equation was obtained, where the singular weight function is non-negative and non-trivial, which may be unbounded on the boundary, the nonlinear term is a Γ-varying function, whose variation at infinity is not regular. The results of this article emphasize the central role played by the gradient term and singular weight function.

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