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Asymptotic behavior of positive solutions of a semilinear Dirichlet problem in the annulus

Dridi S., Khamessi B.

Opuscula Mathematica

2015

Vol. 35, no. 1

21--36

In this paper, we establish existence and asymptotic behavior of a positive classical solution to the following semilinear boundary value problem: [formula] Here O is an annulus in [formula] and q is a positive function in [formula], satisfying some appropriate assumptions related to Karamata regular variation theory. Our arguments combine a method of sub- and supersolutions with Karamata regular variation theory.