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EXISTENCE OF POSITIVE SOLUTIONS TO NONLINEAR ELLIPTIC PROBLEM IN THE HALF SPACE
Journal article   Peer reviewed

EXISTENCE OF POSITIVE SOLUTIONS TO NONLINEAR ELLIPTIC PROBLEM IN THE HALF SPACE

Imed Bachar, Habib Maagli and Malek Zribi
Electronic journal of differential equations, Vol.2005(44), pp.1-16
14/04/2005

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
This paper concerns nonlinear elliptic equations in the half space R-n(+) := {x = (x', x(n)) is an element of R-n : x(n) > 0}, n >= 2, with a nonlinear term satisfying some conditions related to a certain Kato class of functions. We prove some existence results and asymptotic behaviour for positive solutions using a potential theory approach.

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