Habib Maagli, Sameh Turki, Noureddine Zeddini
Abstract:
We prove the existence of a solution, decaying to zero at
infinity, for the second order differential
equation
Then we give a simple proof, under some sufficient conditions which
unify and generalize most of those given in the bibliography, for
the existence of a positive solution for the semilinear second order
elliptic equation
in an exterior domain of the Euclidean space
.
Submitted August 12, 2009. Published September 10, 2009.
Math Subject Classifications: 34A12, 35J60.
Key Words: Positive solutions; nonlinear elliptic equations; exterior domain.
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Habib Maagli Département de Mathématiques, Faculté des Sciences de Tunis Campus Universitaire, 2092 Tunis, Tunisia email: habib.maagli@fst.rnu.tn | |
Sameh Turki Département de Mathématiques, Faculté des Sciences de Tunis Campus Universitaire, 2092 Tunis, Tunisia email: sameh.turki@ipein.rnu.tn | |
Noureddine Zeddini Département de Mathématiques, Faculté des Sciences de Tunis Campus Universitaire, 2092 Tunis, Tunisia email: noureddine.zeddini@ipein.rnu.tn |
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