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Blow-up rates of large solutions for a ϕ-Laplacian problem with gradient term

Published online by Cambridge University Press:  24 July 2014

W. Arriagada  and
J. Huentutripay
W. Arriagada
Affiliation:
School of Mathematics, Physics and Technology, College of the Bahamas, Oakes Field, PO Box N-4912, Nassau, Bahamas, [email protected]
J. Huentutripay
Affiliation:
Instituto de Ciencias Físicas y Matemáticas, Universidad Austral de Chile, Valdivia, Chile, [email protected]
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Abstract

We study the behaviour of solutions of a boundary blow-up elliptic problem on a bounded domain Ω with smooth boundary in ℝN. The data of the problem consist of an increasing function f : ℝ+ → ℝ+ and two real regularly varying functions ϕ and g.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 144 , Issue 4 , August 2014 , pp. 669 - 689
Copyright
Copyright © Royal Society of Edinburgh 2014 

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