Positive solutions of singular semilinear elliptic problems in NTA-cones
Gharbi, Lassaad1 ; Ben Boubaker, Mohamed Amine2
1 Université de Carthage, Nabeul, Tunisia
2 Université de Tunis El Manar, Tunisia and Université de Carthage, Nabeul, Tunisia
Rendiconti del Seminario Matematico della Università di Padova, Tome 138 (2017), pp. 265-282.

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

Δv+f(.,v)=0,
in an NTA-cone in ℝ n (n≥3), when a positive Borel measurable function f(.,.) is continuous and non-increasing with respect to the second variable and satisfies a certain condition related to a Kato class.

Publié le :
DOI : 10.4171/RSMUP/138-14
Classification : 31, 35
Mots clés : Green function, superharmonic function, Schauder fixed point theorem
Gharbi, Lassaad 1 ; Ben Boubaker, Mohamed Amine 2

1 Université de Carthage, Nabeul, Tunisia
2 Université de Tunis El Manar, Tunisia and Université de Carthage, Nabeul, Tunisia 
@article{RSMUP_2017__138__265_0,
     author = {Gharbi, Lassaad and Ben Boubaker, Mohamed Amine},
     title = {Positive solutions of singular semilinear elliptic problems in {NTA-cones}},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {265--282},
     publisher = {European Mathematical Society Publishing House},
     address = {Zuerich, Switzerland},
     volume = {138},
     year = {2017},
     doi = {10.4171/RSMUP/138-14},
     mrnumber = {3743256},
     zbl = {1387.35124},
     url = {http://archive.numdam.org/articles/10.4171/RSMUP/138-14/}
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Gharbi, Lassaad; Ben Boubaker, Mohamed Amine. Positive solutions of singular semilinear elliptic problems in NTA-cones. Rendiconti del Seminario Matematico della Università di Padova, Tome 138 (2017), pp. 265-282. doi : 10.4171/RSMUP/138-14. http://archive.numdam.org/articles/10.4171/RSMUP/138-14/

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