Geodesic
Positive solutions of singular semilinear elliptic problems in NTA-cones
Gharbi, Lassaad1 ; Ben Boubaker, Mohamed Amine2
1Université de Carthage, Nabeul, Tunisia
2Université 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

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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 
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
@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},
     year = {2017},
     publisher = {European Mathematical Society Publishing House},
     address = {Zuerich, Switzerland},
     volume = {138},
     doi = {10.4171/RSMUP/138-14},
     mrnumber = {3743256},
     zbl = {1387.35124},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/RSMUP/138-14/}
}
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