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A general blow-up result on nonlinear boundary-value problems on exterior domains

Published online by Cambridge University Press:  11 July 2007

Qi S. Zhang
Qi S. Zhang
Affiliation:
Department of Mathematics, University of Memphis, Memphis, TN 38152, USA
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Abstract

In the first part, we study several exterior boundary-value problems covering three types of semilinear equations: elliptic, parabolic and hyperbolic. By a unified approach, we show that these problems share a common critical behaviour. In the second part we prove a blow-up result for an inhomogeneous porous medium equation with the critical exponent, which was left open in a previous paper.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 131 , Issue 2 , April 2001 , pp. 451 - 475
Copyright
Copyright © Royal Society of Edinburgh 2001

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