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

Qi S. Zhang

doi:10.1017/S0308210500000950

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.

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

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

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