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Equadiff 2003 - International Conference on Differential Equations
July 22-26, 2003
LUC Diepenbeek
Hasselt, Belgium

Organizers
Freddy Dumortier (Chair, LUC Diepenbeek), Henk Broer (Univ. Groningen), Jean-Pierre Gossez (Univ. Libre Bruxelles), Jean Mawhin (Univ. Cath. Louvain-la-Neuve), Andre Vanderbauwhede (Univ. Gent), Sjoerd Verduyn Lunel (Univ. Leiden)

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The asymptotic behavior of solutions to semilinear elliptic equations in unbounded domains
by
Galina Grichina
Dept. of Applied Mathematics, Bauman Moscow State Technical University, Moscow, Russia

We consider solutions to second order uniformly elliptic equation with lower-order terms Lu = f(x, u)u in unbounded domains having a various structures at infinity. It is assumed that f (x, u) >= C|x|s |u|p , where C > 0, p < 0 , s in R, and the homogeneous Neumann boundary conditions are posed on a non-compact part of the boundary. We investigate the asymptotic behavior of solutions at infinity. In particular, the localization effect for the support of solutions is studied. The conditions on the growth of solution at infinity which cannot be realized for positive solutions are found.

Date received: June 12, 2003

Copyright © 2003 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # calt-09.