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Existence and Asymptotic Behaviour of Large Solutions of Semilinear Elliptic Equations |
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| Authors: | Habib Mâagli Syrine Masmoudi |
| Affiliation: | (1) Département de mathématiques, Faculté des Sciences de Tunis, Campus Universitaire, 1060 Tunis, Tunisia |
| Abstract: | In this paper we are interested in the semilinear elliptic equations of the type  u=u  (,u), on bounded smooth domain  of Rn. We also treat existence of positive solution of u=p(x)f(u), which explodes near the boundary of (called large solutions). Our approach is based on potential theory. |
| Keywords: | elliptic equation asymptotic behaviour large positive solution sub-Markov resolvent maximum principle bootstrap argument |
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