JournalsrsmupVol. 138pp. 265–282

Positive solutions of singular semilinear elliptic problems in NTA-cones

  • Lassaad Gharbi

    Université de Carthage, Nabeul, Tunisia
  • Mohamed Amine Ben Boubaker

    Université de Tunis El Manar, Tunisia and Université de Carthage, Nabeul, Tunisia
Positive solutions of singular semilinear elliptic problems in NTA-cones cover
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Abstract

We study the existence, the uniqueness and the asymptotic behavior of positive solutions of the nonlinear equation

Δv+f(.,v)=0,\Delta v+ f(.,v)=0,

in an NTA-cone in Rn(n3\mathbb R^n( n\geq 3), when a positive Borel measurable function f(.,.)f(.,.) 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