Positive solutions of singular semilinear elliptic problems in NTA-cones
Lassaad Gharbi
Université de Carthage, Nabeul, TunisiaMohamed Amine Ben Boubaker
Université de Tunis El Manar, Tunisia and Université de Carthage, Nabeul, Tunisia
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Abstract
We study the existence, the uniqueness and the asymptotic behavior of positive solutions of the nonlinear equation
in an NTA-cone in ), when a positive Borel measurable function is continuous and non-increasing with respect to the second variable and satisfies a certain condition related to a Kato class.
Cite this article
Lassaad Gharbi, Mohamed Amine Ben Boubaker, Positive solutions of singular semilinear elliptic problems in NTA-cones. Rend. Sem. Mat. Univ. Padova 138 (2017), pp. 265–282
DOI 10.4171/RSMUP/138-14