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Existence and asymptotic behaviour of large solutions of semilinear elliptic equations
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Existence and asymptotic behaviour of large solutions of semilinear elliptic equations

H Maagli and S Masmoudi
Potential analysis, Vol.17(4), pp.337-350
01/12/2002

Abstract

Mathematics Physical Sciences Science & Technology
In this paper we are interested in the semilinear elliptic equations of the type Deltau=u.phi(.,u), on bounded smooth domain Omega of R-n. We also treat existence of positive solution of Deltau=p(x)f(u), which explodes near the boundary of Omega (called large solutions). Our approach is based on potential theory.

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